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• [65]
  

  2025 | Preprint | Veröffentlicht | PUB-ID: 3000488

  Gussetti, Emanuela, and Hofmanová, Martina. 2025. “Statistical solutions to the Schrödinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation”.

  PUB | DOI
   
• [64]
  

  2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2990003

  Gubinelli, Massimiliano, Hofmanová, Martina, and Rana, Nimit. 2024. “Decay of correlations in stochastic quantization: the exponential Euclidean field in two dimensions”. Stochastics and Partial Differential Equations : Analysis and Computations .

  PUB | PDF | DOI | WoS
   
• [63]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2999968

  Hofmanová, Martina, Zhu, Rongchan, and Zhu, Xiangchan. 2024. “Non-uniqueness of Leray-Hopf solutions for stochastic forced Navier-Stokes equations”. Electronic Journal of Probability 29: 195.

  PUB | DOI | WoS
   
• [62]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2994181

  Breit, Dominic, Feireisl, Eduard, and Hofmanová, Martina. 2024. “On the long-time behavior of compressible fluid flows excited by random forcing”. Annales de l'Institut Henri Poincaré (C): Non Linear Analysis 41 (4): 961-993.

  PUB | DOI | WoS
   
• [61]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2985884

  Hofmanová, Martina, Lange, Theresa, and Pappalettera, Umberto. 2024. “Global existence and non-uniqueness of 3D Euler equations perturbed by transport noise”. Probability Theory and Related Fields 188: 1183–1255.

  PUB | PDF | DOI | WoS
   
• [60]
  

  2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2990013

  Hofmanová, Martina, Luo, Xiaoyutao, Zhu, Rongchan, and Zhu, Xiangchan. 2024. “Surface quasi-geostrophic equation perturbed by derivatives of space-time white noise”. Mathematische Annalen : s00208-024-02881-1.

  PUB | DOI | WoS
   
• [59]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2988225

  Hofmanová, Martina, Zhu, Rongchan, and Zhu, Xiangchan. 2024. “Nonuniqueness in law of stochastic 3D Navier-Stokes equations”. Journal of the European Mathematical Society 26 (1): 163-260.

  PUB | DOI | WoS
   
• [58]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980538

  Hofmanová, Martina, Zhu, Rongchan, and Zhu, Xiangchan. 2023. “A class of supercritical/critical singular stochastic PDEs: Existence, non-uniqueness, non-Gaussianity, non-unique ergodicity *”. Journal of Functional Analysis 285 (5): 110011.

  PUB | DOI | WoS
   
• [57]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2979254

  Hofmanová, Martina, Zhu, Rongchan, and Zhu, Xiangchan. 2023. “Global Existence and Non-Uniqueness for 3D Navier-Stokes Equations with Space-Time White Noise”. Archive for Rational Mechanics and Analysis 247 (3): 46.

  PUB | DOI | WoS
   
• [56]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2978101

  Hofmanová, Martina, Zhu, Rongchan, and Zhu, Xiangchan. 2023. “Global-in-time probabilistically strong and Markov solutions to stochastic 3D Navier–Stokes equations: Existence and nonuniqueness”. Annals of Probability 51 (2): 524-579.

  PUB | DOI | WoS
   
• [55]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969175

  Bechtold, Florian, and Hofmanová, Martina. 2023. “Weak solutions for singular multiplicative SDEs via regularization by noise”. Stochastic Processes and their Applications 157: 413-435.

  PUB | DOI | WoS
   
• [54]
  

  2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2967853

  Diening, Lars, Hofmanová, Martina, and Wichmann, Jörn. 2022. “An averaged space–time discretization of the stochastic p-Laplace system”. Numerische Mathematik 153.

  PUB | PDF | DOI | Download (ext.) | WoS
   
• [53]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2961108

  Feireisi, Eduard, and Hofmanová, Martina. 2022. “Randomness in Compressible Fluid Flows Past an Obstacle”. Journal of Statistical Physics 186 (3): 32.

  PUB | PDF | DOI | WoS
   
• [52]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2968920

  Cardona, Jorge, Hofmanová, Martina, Nilssen, Torstein, and Rana, Nimit. 2022. “Random dynamical system generated by the 3D Navier-Stokes equation with rough transport noise”. Electronic Journal of Probability 27: 88.

  PUB | DOI | WoS
   
• [51]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2967880

  Breit, Dominic, Feireisl, Eduard, Hofmanová, Martina, and Zatorska, Ewelina. 2022. “COMPRESSIBLE NAVIER-STOKES SYSTEM WITH TRANSPORT NOISE”. SIAM Journal on Mathematical Analysis 54 (4): 4465-4494.

  PUB | DOI | WoS
   
• [50]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2965535

  Flandoli, Franco, Hofmanová, Martina, Luo, Dejun, and Nilssen, Torstein. 2022. “ Global well-posedness of the 3D Navier–Stokes equations perturbed by a deterministic vector field ”. Annals of Applied Probability 32 (4): 2568-2586.

  PUB | DOI | WoS
   
• [49]
  

  2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2964928

  Hofmanová, Martina, Koley, Ujjwal, and Sarkar, Utsab. 2022. “Measure-valued solutions to the stochastic compressible Euler equations and incompressible limits”. Communications in Partial Differential Equations.

  PUB | DOI | WoS
   
• [48]
  

  2022 | Preprint | PUB-ID: 2962502

  Diening, Lars, Hofmanová, Martina, and Wichmann, Jörn. 2022. “An averaged space-time discretization of the stochastic $p$-Laplace system”. arXiv:2204.08929.

  PUB | arXiv
   
• [47]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955117

  Gubinelli, Massimiliano, and Hofmanová, Martina. 2021. “A PDE Construction of the Euclidean Phi(4)(3) Quantum Field Theory”. Communications in Mathematical Physics 384 (1): 1-75.

  PUB | PDF | DOI | WoS
   
• [46]
  

  2021 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2959757

  Breit, Dominic, Feireisl, Eduard, and Hofmanová, Martina. 2021. “Stationary solutions in thermodynamics of stochastically forced fluids”. Mathematische Annalen .

  PUB | DOI | WoS
   
• [45]
  

  2021 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2958499

  Hofmanová, Martina, Zhu, Rongchan, and Zhu, Xiangchan. 2021. “On Ill- and Well-Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler Equations”. Communications on Pure and Applied Mathematics .

  PUB | DOI | WoS
   
• [44]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2957745

  Breit, Dominic, Hofmanová, Martina, and Loisel, Sebastien. 2021. “Space-Time Approximation of Stochastic $p$-Laplace-Type Systems”. SIAM Journal on Numerical Analysis 59 (4): 2218-2236.

  PUB | DOI | WoS
   
• [43]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937411

  Hofmanová, Martina, Leahy, James-Michael, and Nilssen, Torstein. 2021. “On a rough perturbation of the Navier-Stokes system and its vorticity formulation”. Annals of Applied Probability 31 (2): 736-777.

  PUB | DOI | Download (ext.) | WoS | arXiv
   
• [42]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2956012

  Fanelli, Francesco, Feireisl, Eduard, and Hofmanová, Martina. 2021. “Ergodic theory for energetically open compressible fluid flows”. Physica D: Nonlinear Phenomena 423: 132914.

  PUB | DOI | WoS
   
• [41]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937471

  Dabrock, Nils, Hofmanová, Martina, and Röger, Matthias. 2021. “Existence of martingale solutions and large-time behavior for a stochastic mean curvature flow of graphs ”. Probability Theory and Related Fields 179: 407-449.

  PUB | PDF | DOI | Download (ext.) | WoS | arXiv
   
• [40]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946703

  Feireisl, Eduard, and Hofmanová, Martina. 2020. “On convergence of approximate solutions to the compressible Euler system”. Annals of PDE 6: 11.

  PUB | PDF | DOI | WoS
   
• [39]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2951313

  Hofmanová, Martina, Knoeller, Marvin, and Schratz, Katharina. 2020. “Randomized exponential integrators for modulated nonlinear Schrodinger equations”. IMA Journal of Numerical Analysis 40 (4): 2143-2162.

  PUB | DOI | WoS | arXiv
   
• [38]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933204

  Breit, Dominic, Feireisl, Eduard, and Hofmanová, Martina. 2020. “Markov selection for the stochastic compressible Navier-Stokes system”. Annals of Applied Probability 30 (6): 2547-2572.

  PUB | PDF | DOI | Download (ext.) | WoS | arXiv
   
• [37]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2944193

  Breit, Dominic, Feireisl, Eduard, and Hofmanová, Martina. 2020. “Dissipative Solutions and Semiflow Selection for the Complete Euler System”. COMMUNICATIONS IN MATHEMATICAL PHYSICS 376 (2): 1471-1497.

  PUB | DOI | WoS
   
• [36]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942738

  Breit, Dominic, Feireisl, Eduard, and Hofmanová, Martina. 2020. “Solution Semiflow to the Isentropic Euler System”. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 235 (1): 167-194.

  PUB | DOI | WoS
   
• [35]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945831

  Breit, Dominic, Feireisl, Eduard, and Hofmanová, Martina. 2020. “Generalized solutions to models of inviscid fluids ”. Discrete and Continuous Dynamical Systems. Series B 25 (10): 3831-3842.

  PUB | DOI | WoS | arXiv
   
• [34]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942741

  Breit, Dominic, Feireisl, Eduard, and Hofmanová, Martina. 2020. “ON SOLVABILITY AND ILL-POSEDNESS OF THE COMPRESSIBLE EULER SYSTEM SUBJECT TO STOCHASTIC FORCES”. ANALYSIS & PDE 13 (2): 371-402.

  PUB | DOI | WoS
   
• [33]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937476

  Deya, Aurélien, Gubinelli, Massimiliano, Hofmanová, Martina, and Tindel, Samy. 2019. “A priori estimates for rough PDEs with application to rough conservation laws”. Journal of Functional Analysis 276 (12): 3577-3645.

  PUB | PDF | DOI | Download (ext.) | WoS
   
• [32]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937484

  Breit, Dominic, Feireisl, Eduard, Hofmanová, Martina, and Maslowski, Bohdan. 2019. “Stationary solutions to the compressible Navier–Stokes system driven by stochastic forces”. Probability Theory and Related Fields 174 (3-4): 981-1032.

  PUB | PDF | DOI | Download (ext.) | WoS
   
• [31]
  

  2019 | Preprint | Unveröffentlicht | PUB-ID: 2937480

  Hofmanová, Martina, and Feireisl, Eduard. Unpublished. “On the vanishing viscosity limit of the isentropic Navier-Stokes system”. arXiv: 1905.02548.

  PUB | Download (ext.) | arXiv
   
• [30]
  

  2019 | Preprint | Unveröffentlicht | PUB-ID: 2937473

  Hofmanová, Martina, and Breit, Dominic. Unpublished. “Space-time approximation of stochastic p-Laplace systems ”. arXiv: 1904.03134v1.

  PUB | Download (ext.) | arXiv
   
• [29]
  

  2019 | Preprint | Unveröffentlicht | PUB-ID: 2937472

  Hofmanová, Martina, Breit, Dominic, and Eduard, Feireisl. Unpublished. “Dissipative solutions and semiflow selection for the complete Euler system”. arXiv: 1904.00622v1.

  PUB | Download (ext.) | arXiv
   
• [28]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936016

  Gubinelli, Massimiliano, and Hofmanová, Martina. 2019. “Global solutions to elliptic and parabolic $\Phi^4$ models in Euclidean space”. Communications in Mathematical Physics 368 (3): 1201-1266.

  PUB | PDF | DOI | WoS
   
• [27]
  

  2019 | Preprint | PUB-ID: 2933197

  Breit, Dominic, Feireisl, Eduard, and Hofmanová, Martina. 2019. “Solution Semiflow to the isentropic Euler system ”.

  PUB | PDF | Download (ext.)
   
• [26]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933265

  Breit, Dominic, Feireisl, Eduard, and Hofmanová, Martina. 2018. “Local strong solutions to the stochastic compressible Navier–Stokes system”. Communications in Partial Differential Equations 43 (2): 313-345.

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• [25]
  

  2018 | Preprint | PUB-ID: 2933200

  Gubinelli, Massimiliano, and Hofmanová, Martina. 2018. “ PDE construction of the Euclidean Φ 4 3 quantum field theory”.

  PUB | PDF | Download (ext.) | arXiv
   
• [24]
  

  2018 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2933261

  Hofmanová, Martina, Leahy, James-Michael, and Nilssen, Torstein. 2018. “On the Navier–Stokes equation perturbed by rough transport noise”. Journal of Evolution Equations 19 (1): 203-247.

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• [23]
  

  2018 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2933221

  Bailleul, I., Debussche, A., and Hofmanová, Martina. 2018. “Quasilinear generalized parabolic Anderson model equation”. Stochastics and Partial Differential Equations: Analysis and Computations 7 (1): 40-63.

  PUB | PDF | DOI | Download (ext.) | WoS
   
• [22]
  

  2018 | Monographie | Veröffentlicht | PUB-ID: 2933196

  Breit, Dominic, Feireisl, Eduard, and Hofmanová, Martina. 2018. Stochastically Forced Compressible Fluid Flows. 1.st ed. Vol. 3. De Gruyter Series in Applied and Numerical Mathematics. Berlin: De Gruyter.

  PUB
   
• [21]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920675

  Hocquet, Antoine, and Hofmanová, Martina. 2018. “An energy method for rough partial differential equations”. JOURNAL OF DIFFERENTIAL EQUATIONS 265 (4): 1407-1466.

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• [20]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931096

  Gess, Benjamin, and Hofmanová, Martina. 2018. “Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDE”. ANNALS OF PROBABILITY 46 (5): 2495-2544.

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• [19]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933240

  Hofmanová, Martina, and Zhang, Tusheng. 2017. “Quasilinear parabolic stochastic partial differential equations: existence, uniqueness”. Stochastic Processes and their Applications 127 (10): 3354-3371.

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• [18]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933229

  Hofmanová, Martina, and Schratz, Katharina. 2017. “An exponential-type integrator for the KDV Equation”. Numerische Mathematik 136 (4): 1117-1137.

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• [17]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933231

  Breit, Dominic, Feireisl, Eduard, and Hofmanová, Martina. 2017. “Compressible Fluids Driven by Stochastic Forcing: The Relative Energy Inequality and Applications”. Communications in Mathematical Physics 350 (2): 443-473.

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• [16]
  

  2017 | Preprint | PUB-ID: 2933208

  Hofmanová, Martina, Knöller, Marvin, and Schratz, Katharina. 2017. “Stratified exponential integrator for modulated nonlinear Schrödinger equations”.

  PUB | PDF | Download (ext.)
   
• [15]
  

  2017 | Preprint | PUB-ID: 2933214

  Breit, Dominic, Feireisl, Eduard, and Hofmanová, Martina. 2017. “On solvability and ill-posedness of the compressible Euler system subject to stochastic forces”.

  PUB | PDF | Download (ext.)
   
• [14]
  

  2016 | Preprint | PUB-ID: 2933218

  Deya, Aurelien, Gubinelli, Massimiliano, Hofmanová, Martina, and Tindel, Samy. 2016. “One-dimensional reflected rough differential equation”.

  PUB | PDF | Download (ext.) | arXiv
   
• [13]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933238

  Hofmanová, Martina. 2016. “Scalar conservation laws with rough flux and stochastic forcing”. Stochastics and Partial Differential Equations. Analysis and Computations 4 (3): 635-690.

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• [12]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933251

  Debussche, Arnaud, Hofmanová, Martina, and Vovelle, Julien. 2016. “Degenerate parabolic stochastic partial differential equations: Quasilinear case”. The Annals of Probability 44 (3): 1916-1955.

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• [11]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933242

  Hofmanová, Martina, Röger, Matthias, and von Renesse, Max. 2016. “Weak solutions for a stochastic mean curvature flow of two-dimensional graphs”. Probability Theory and Related Fields 168 (1-2): 373-408.

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• [10]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933236

  Breit, Dominic, Feireisl, Eduard, and Hofmanová, Martina. 2016. “Incompressible Limit for Compressible Fluids with Stochastic Forcing”. Archive for Rational Mechanics and Analysis 222 (2): 895-926.

  PUB | PDF | DOI | Download (ext.) | WoS
   
• [9]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933244

  Hofmanová, Martina, and Breit, Dominic. 2016. “Stochastic Navier-Stokes equations for compressible fluids”. Indiana University Mathematics Journal 65 (4): 1183-1250.

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• [8]
  

  2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2933212

  Hofmanová, Martina. 2016. “On the Rough Gronwall lemma and it's aplications”. In Stochastic Partial Differential Equations and Related Fields. In Honor of Michael Röckner SPDERF, Bielefeld, Germany, ed. Andreas Eberle, Martin Grothaus, Walter Hoh, Moritz Kassmann, Wilhelm Stannat, and Geralt Trutnau, 333-344. Springer Proceedings in Mathematics & Statistics . Cham: Springer.

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• [7]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933246

  Debussche, Arnaud, de Moor, Sylvain, and Hofmanová, Martina. 2015. “A Regularity Result for Quasilinear Stochastic Partial Differential Equations of Parabolic Type”. SIAM Journal on Mathematical Analysis 47 (2): 1590-1614.

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• [6]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933253

  Hofmanová, Martina. 2015. “A Bhatnagar–Gross–Krook approximation to stochastic scalar conservation laws”. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 51 (4): 1500-1528.

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• [5]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933233

  Breit, Dominic, and Hofmanová, Martina. 2015. “On time regularity of stochastic evolution equations with monotone coefficients”. Comptes Rendus Mathematique 354 (1): 33-37.

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• [4]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933249

  Hofmanová, Martina. 2013. “Degenerate parabolic stochastic partial differential equations”. Stochastic Processes and their Applications 123 (12): 4294-4336.

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• [3]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933255

  Hofmanová, Martina, and Seidler, Jan. 2013. “On Weak Solutions of Stochastic Differential Equations II”. Stochastic Analysis and Applications 31 (4): 663-670.

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• [2]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933257

  Hofmanová, Martina. 2012. “Strong solutions of semilinear stochastic partial differential equations”. Nonlinear Differential Equations and Applications NoDEA 20 (3): 757-778.

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• [1]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933259

  Hofmanová, Martina, and Seidler, Jan. 2011. “On Weak Solutions of Stochastic Differential Equations”. Stochastic Analysis and Applications 30 (1): 100-121.

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