PUB - Publikationen an der Universität Bielefeld

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• [58]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2962534

  Foghem, Guy, and Kaßmann, Moritz. 2024. “A general framework for nonlocal Neumann problems”. Communications in Mathematical Sciences 22 (1): 15-66.

  PUB | DOI | WoS | arXiv
   
• [57]
  

  2023 | Preprint | Angenommen | PUB-ID: 2986706

  Kaßmann, Moritz, and Weidner, Marvin. Accepted. “The parabolic Harnack inequality for nonlocal equations”. arXiv:2303.05975.

  PUB | DOI | arXiv
   
• [56]
  

  2023 | Preprint | PUB-ID: 2986704

  Jarohs, Sven, Kaßmann, Moritz, and Weth, Tobias. 2023. “Continuity of solutions to equations with weakly singular nonlocal operators”. arXiv:2311.15337.

  PUB | arXiv
   
• [55]
  

  2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2978262

  Hepp, Solveig, and Kaßmann, Moritz. 2023. “The divergence theorem and nonlocal counterparts”. Bulletin of the London Mathematical Society.

  PUB | DOI | WoS | arXiv
   
• [54]
  

  2023 | Preprint | PUB-ID: 2980571

  Grube, Florian, and Kaßmann, Moritz. 2023. “Robust nonlocal trace and extension theorems”. arXiv:2305.05735.

  PUB | DOI | arXiv
   
• [53]
  

  2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2980009

  Kaßmann, Moritz, Kim, Minhyun, and Lee, Ki-Ahm. 2023. “Robust Near-Diagonal Green Function Estimates”. International Mathematics Research Notices: rnad106.

  PUB | DOI | WoS | arXiv
   
• [52]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2968030

  Kaßmann, Moritz, and Weidner, Marvin. 2023. “Upper heat kernel estimates for nonlocal operators via Aronson’s method”. Calculus of Variations and Partial Differential Equations 62 (2): 68.

  PUB | DOI | WoS | arXiv
   
• [51]
  

  2023 | Preprint | PUB-ID: 2978263

  Bogdan, Krzysztof, Jastrzȩbski, Kajetan, Kaßmann, Moritz, Kijaczko, Michał, and Popławski, Paweł. 2023. “Shot-down stable processes”. arXiv:2301.12290.

  PUB | arXiv
   
• [50]
  

  2022 | Preprint | PUB-ID: 2962914

  Kaßmann, Moritz, and Weidner, Marvin. 2022. “Nonlocal operators related to nonsymmetric forms I: Hölder estimates”. arXiv:2203.07418.

  PUB | arXiv
   
• [49]
  

  2022 | Preprint | PUB-ID: 2962913

  Kaßmann, Moritz, and Weidner, Marvin. 2022. “Nonlocal operators related to nonsymmetric forms II: Harnack inequalities”. arXiv:2205.05531.

  PUB | arXiv
   
• [48]
  

  2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2962207

  Kaßmann, Moritz, and Wagner, Vanja. 2022. “Nonlocal quadratic forms with visibility constraint”. Mathematische Zeitschrift .

  PUB | DOI | WoS | arXiv
   
• [47]
  

  2021 | Preprint | PUB-ID: 2956079

  Kang, Jaehoon, and Kaßmann, Moritz. 2021. “Heat kernel estimates for Markov processes of direction-dependent type”. arXiv:2106.07282.

  PUB | arXiv
   
• [46]
  

  2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2941888

  Grzywny, Tomasz, Kaßmann, Moritz, and Lezaj, Lukasz. 2020. “Remarks on the Nonlocal Dirichlet Problem”. Potential Analysis.

  PUB | DOI | WoS
   
• [45]
  

  2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2941605

  Foghem Gounoue, Guy Fabrice, Kaßmann, Moritz, and Voigt, Paul. 2020. “Mosco convergence of nonlocal to local quadratic forms”. Nonlinear Analysis: theory, methods & applications 193 (SI): 111504.

  PUB | DOI | WoS
   
• [44]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945135

  Karch, Grzegorz, Kaßmann, Moritz, and Krupski, Milosz. 2020. “A Framework for Nonlocal, Nonlinear Initial Value Problems”. SIAM Journal on Mathematical Analysis 52 (3): 2383-2410.

  PUB | DOI | WoS
   
• [43]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942740

  Dyda, Bartlomiej, and Kaßmann, Moritz. 2020. “Regularity estimates for elliptic nonlocal operators”. Analysis & PDE 13 (2): 317-370.

  PUB | DOI | WoS
   
• [42]
  

  2019 | Preprint | PUB-ID: 2956081

  Chaker, Jamil, Kaßmann, Moritz, and Weidner, Marvin. 2019. “Robust Hölder Estimates for Parabolic Nonlocal Operators”. arXiv:1912.09919.

  PUB | arXiv
   
• [41]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937739

  Bux, Kai-Uwe, Kaßmann, Moritz, and Schulze, Tim. 2019. “Quadratic forms and Sobolev spaces of fractional order”. Proceedings of the London Mathematical Society 119 (3): 841-866.

  PUB | DOI | WoS | arXiv
   
• [40]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2939199

  Kaßmann, Moritz, Piatnitski, A., and Zhizhina, E. 2019. “Homogenization of Lévy-type Operators with Oscillating Coefficients”. SIAM Journal on Mathematical Analysis 51 (5): 3641-3665.

  PUB | DOI | WoS
   
• [39]
  

  2019 | Sammelwerksbeitrag | PUB-ID: 2956110

  Kaßmann, Moritz. 2019. “Variational solutions to nonlocal problems”. In Spectral structures and topological methods in mathematics, 183-196. EMS Ser. Congr. Rep. EMS Publ. House, Z\"{u}rich.

  PUB | DOI
   
• [38]
  

  2019 | Preprint | PUB-ID: 2956080

  Kaßmann, Moritz, Kim, Kyung-Youn, and Kumagai, Takashi. 2019. “Heat kernel bounds for nonlocal operators with singular kernels”. arXiv:1910.04242.

  PUB | arXiv
   
• [37]
  

  2019 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2933905

  Kaßmann, Moritz, Mengesha, Tadele, and Scott, James. 2019. “Solvability of nonlocal systems related to peridynamics”. Communications on Pure and Applied Analysis 18 (3): 1303-1332.

  PUB | DOI | WoS
   
• [36]
  

  2019 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2939169

  Chaker, Jamil, and Kaßmann, Moritz. 2019. “Nonlocal operators with singular anisotropic kernels”. Communications in Partial Differential Equations 45 (1): 1-31.

  PUB | DOI | WoS
   
• [35]
  

  2019 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2938373

  Dyda, Bartlomiej, and Kaßmann, Moritz. 2019. “Function spaces and extension results for nonlocal Dirichlet problems”. Journal of Functional Analysis 277 (11): UNSP 108134.

  PUB | DOI | WoS
   
• [34]
  

  2017 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2954098

  Kaßmann, Moritz. 2017. “Jump Processes and Nonlocal Operators”. In Recent Developments in Nonlocal Theory, ed. Giampiero Palatucci and Tuomo Kuusi, 274-302. Berlin: De Gruyter .

  PUB | DOI
   
• [33]
  

  2017 | Preprint | PUB-ID: 2956118

  Dier, Dominik, Kaßmann, Moritz, and Zacher, Rico. 2017. “Discrete versions of the Li-Yau gradient estimate”. arXiv:1701.04807.

  PUB | arXiv
   
• [32]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2912351

  Kaßmann, Moritz, and Mimica, Ante. 2017. “Intrinsic scaling properties for nonlocal operators”. Journal of the European Mathematical Society 19 (4): 983-1011.

  PUB | DOI | WoS
   
• [31]
  

  2016 | Herausgeber*in Sammelwerk | Veröffentlicht | PUB-ID: 2962859

  Kaßmann, Moritz, Eberle, Andreas, Grothaus, Martin, Hoh, Walter, Stannat, Wilhelm, and Trutnau, Gerald, eds. 2016. Stochastic partial differential equations and related fields. Vol. 229. Springer Proceedings in Mathematics & Statistics. Cham: Springer.

  PUB | DOI
   
• [30]
  

  2015 | Preprint | PUB-ID: 2956121

  Bae, Jongchun, and Kaßmann, Moritz. 2015. “Schauder estimates in generalized Hölder spaces”. arXiv:1505.05498.

  PUB | arXiv
   
• [29]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2730770

  Felsinger, Matthieu, Kaßmann, Moritz, and Voigt, Paul. 2015. “The Dirichlet problem for nonlocal operators”. Mathematische Zeitschrift 279 (3-4): 779-809.

  PUB | DOI | WoS
   
• [28]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954099

  Schwab, Russell, Rang, Marcus, and Kaßmann, Moritz. 2014. “Integro-Differential equations with nonlinear directional dependence”. Indiana University Mathematics Journal 63 (5): 1467-1498.

  PUB | DOI | WoS
   
• [27]
  

  2014 | Preprint | PUB-ID: 2956123

  Kaßmann, Moritz, and Mimica, Ante. 2014. “Intrinsic scaling properties for nonlocal operators II”. arXiv:1412.7566.

  PUB | arXiv
   
• [26]
  

  2014 | Preprint | PUB-ID: 2956119

  Kaßmann, Moritz. 2014. “On Dirichlet forms and semi-Dirichlet forms”. arXiv:1412.7565.

  PUB | arXiv
   
• [25]
  

  2014 | Zeitschriftenaufsatz | PUB-ID: 2956078

  Kaßmann, Moritz, and Schwab, Russell W. 2014. “Regularity results for nonlocal parabolic equations”. Riv. Math. Univ. Parma (N.S.) 5 (1): 183-212.

  PUB | Download (ext.)
   
• [24]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2622424

  Dyda, Bartlomiej, and Kaßmann, Moritz. 2013. “On weighted Poincaré inequalities”. Annales Academiae Scientiarum Fennicae Mathematica 38 (2): 721-726.

  PUB | DOI | WoS
   
• [23]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2560131

  Kaßmann, Moritz, and Mimica, Ante. 2013. “Analysis of jump processes with nondegenerate jumping kernels”. Stochastic Processes And Their Applications 123 (2): 629-650.

  PUB | DOI | WoS
   
• [22]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2625589

  Felsinger, Matthieu, and Kaßmann, Moritz. 2013. “Local Regularity for Parabolic Nonlocal Operators”. Communications In Partial Differential Equations 38 (9): 1539-1573.

  PUB | DOI | WoS
   
• [21]
  

  2011 | Preprint | PUB-ID: 2956125

  Dyda, Bartłomiej, and Kaßmann, Moritz. 2011. “Comparability and regularity estimates for symmetric nonlocal Dirichlet forms”. arXiv:1109.6812.

  PUB | arXiv
   
• [20]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2307244

  Kaßmann, Moritz. 2011. “A new formulation of Harnack's inequality for nonlocal operators”. Comptes Rendus Mathematique 349 (11-12): 637-640.

  PUB | DOI | WoS
   
• [19]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954100

  Bass, Richard F., Kaßmann, Moritz, and Kumagai, Takashi. 2010. “Symmetric jump processes: Localization, heat kernels and convergence”. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 46 (1): 59-71.

  PUB | DOI | WoS
   
• [18]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954102

  Kaßmann, Moritz. 2009. “A priori estimates for integro-differential operators with measurable kernels”. Calculus of Variations and Partial Differential Equations 34 (1): 1-21.

  PUB | DOI | WoS
   
• [17]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954101

  Barlow, Martin T., Bass, Richard F., Chen, Zhen-Qing, and Kaßmann, Moritz. 2009. “Non-local Dirichlet forms and symmetric jump processes”. Transactions of the American Mathematical Society 361 (04): 1963-1999.

  PUB | DOI
   
• [16]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929301

  Husseini, Ryad, and Kaßmann, Moritz. 2009. “Jump processes, L-harmonic functions, continuity estimates and the Feller property”. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 45 (4): 1099-1115.

  PUB | DOI | WoS
   
• [15]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1589471

  Abels, Helmut, and Kaßmann, Moritz. 2009. “The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels”. Osaka journal of mathematics 46 (3): 661-683.

  PUB | WoS
   
• [14]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954103

  Kaßmann, Moritz. 2007. “The theory of De Giorgi for non-local operators”. Comptes Rendus Mathematique 345 (11): 621-624.

  PUB | DOI | WoS
   
• [13]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954104

  Husseini, Ryad, and Kaßmann, Moritz. 2007. “Markov Chain Approximations for Symmetric Jump Processes”. Potential Analysis 27 (4): 353-380.

  PUB | DOI | WoS
   
• [12]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954105

  Kaßmann, Moritz, and Madych, W. R. 2007. “Difference Quotients and Elliptic Mixed Boundary Problems of Second Order”. Indiana University Mathematics Journal 56 (3): 1047-1082.

  PUB | DOI | WoS
   
• [11]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954106

  Abels, Herbert, and Kaßmann, Moritz. 2007. “An analytic approach to purely nonlocal Bellman equations arising in models of stochastic control”. Journal of Differential Equations 236 (1): 29-56.

  PUB | DOI | WoS
   
• [10]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954107

  Kaßmann, Moritz. 2007. “Harnack Inequalities: An Introduction”. Boundary Value Problems 2007: 081415.

  PUB | DOI | WoS
   
• [9]
  

  2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954109

  Frehse, Jens, and Kaßmann, Moritz. 2006. “Nonlinear partial differential equations of fourth order under mixed boundary conditions”. Mathematische Zeitschrift 254 (1): 33-54.

  PUB | DOI | WoS
   
• [8]
  

  2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954108

  Kaßmann, Moritz. 2006. “L-harmonische Funktionen und Sprungprozesse”. Mitteilungen der Deutschen Mathematiker-Vereinigung 14 (2): 80-87.

  PUB | DOI
   
• [7]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954110

  Bass, Richard F., and Kaßmann, Moritz. 2005. “Hölder Continuity of Harmonic Functions with Respect to Operators of Variable Order”. Communications in Partial Differential Equations 30 (8): 1249-1259.

  PUB | DOI | WoS
   
• [6]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954111

  Bass, Richard F., and Kaßmann, Moritz. 2005. “Harnack inequalities for non-local operators of variable order”. Transactions of the American Mathematical Society 357 (2): 837-850.

  PUB | DOI | WoS
   
• [5]
  

  2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954112

  Kaßmann, Moritz. 2003. “On Regularity for Beurling–Deny Type Dirichlet Forms”. Potential Analysis 19 (1): 69-87.

  PUB | DOI | WoS
   
• [4]
  

  2003 | Sammelwerksbeitrag | PUB-ID: 2956115

  Ebmeyer, Carsten, Frehse, Jens, and Kaßmann, Moritz. 2003. “Boundary regularity for nonlinear elliptic systems: applications to the transmission problem”. In Geometric analysis and nonlinear partial differential equations, 505-517. Springer, Berlin.

  PUB
   
• [3]
  

  2003 | Zeitschriftenaufsatz | PUB-ID: 2956114

  Kaßmann, Moritz. 2003. “A note on integral inequalities and embeddings of Besov spaces”. JIPAM. J. Inequal. Pure Appl. Math. 4 (5): Article 107, 3.

  PUB
   
• [2]
  

  2002 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2954113

  Kaßmann, Moritz, and Steinhauer, Mark. 2002. “Existence of a Generalized Green Function for Integro-Differential Operators of Fractional Order”. In Nonlinear Problems in Mathematical Physics and Related Topics I, ed. Michael Sh. Birman, Stefan Hildebrandt, Vsevolod A. Solonnikov, and Nina N. Uraltseva, 1:187-202. International Mathematical Series. Boston, MA: Springer US.

  PUB | DOI
   
• [1]
  

  2001 | Monographie | PUB-ID: 2956113

  Kaßmann, Moritz. 2001. Harnack-Ungleichungen für nichtlokale Differentialoperatoren und Dirichlet-Formen. Vol. 336. Bonner Mathematische Schriften [Bonn Mathematical Publications]. Universit\"{a}t Bonn, Mathematisches Institut, Bonn.

  PUB