PUB - Publikationen an der Universität Bielefeld

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• [58]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2962534

  G. Foghem, and M. Kaßmann, “A general framework for nonlocal Neumann problems”, Communications in Mathematical Sciences , 2024, 22, 15-66.

  PUB | DOI | WoS | arXiv
   
• [57]
  

  2023 | Preprint | Angenommen | PUB-ID: 2986706

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

  PUB | DOI | arXiv
   
• [56]
  

  2023 | Preprint | PUB-ID: 2986704

  S. Jarohs, M. Kaßmann, and T. Weth, “Continuity of solutions to equations with weakly singular nonlocal operators”, arXiv:2311.15337, 2023.

  PUB | arXiv
   
• [55]
  

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

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

  PUB | DOI | WoS | arXiv
   
• [54]
  

  2023 | Preprint | PUB-ID: 2980571

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

  PUB | DOI | arXiv
   
• [53]
  

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

  M. Kaßmann, M. Kim, and K. - A. Lee, “Robust Near-Diagonal Green Function Estimates”, International Mathematics Research Notices, 2023, : rnad106.

  PUB | DOI | WoS | arXiv
   
• [52]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2968030

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

  PUB | DOI | WoS | arXiv
   
• [51]
  

  2023 | Preprint | PUB-ID: 2978263

  K. Bogdan, K. Jastrzȩbski, M. Kaßmann, M. Kijaczko, and P. Popławski, “Shot-down stable processes”, arXiv:2301.12290, 2023.

  PUB | arXiv
   
• [50]
  

  2022 | Preprint | PUB-ID: 2962914

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

  PUB | arXiv
   
• [49]
  

  2022 | Preprint | PUB-ID: 2962913

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

  PUB | arXiv
   
• [48]
  

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

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

  PUB | DOI | WoS | arXiv
   
• [47]
  

  2021 | Preprint | PUB-ID: 2956079

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

  PUB | arXiv
   
• [46]
  

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

  T. Grzywny, M. Kaßmann, and L. Lezaj, “Remarks on the Nonlocal Dirichlet Problem”, Potential Analysis, 2020.

  PUB | DOI | WoS
   
• [45]
  

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

  G. F. Foghem Gounoue, M. Kaßmann, and P. Voigt, “Mosco convergence of nonlocal to local quadratic forms”, Nonlinear Analysis: theory, methods & applications, 2020, 193, : 111504.

  PUB | DOI | WoS
   
• [44]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945135

  G. Karch, M. Kaßmann, and M. Krupski, “A Framework for Nonlocal, Nonlinear Initial Value Problems”, SIAM Journal on Mathematical Analysis, 2020, 52, 2383-2410.

  PUB | DOI | WoS
   
• [43]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942740

  B. Dyda, and M. Kaßmann, “Regularity estimates for elliptic nonlocal operators”, Analysis & PDE , 2020, 13, 317-370.

  PUB | DOI | WoS
   
• [42]
  

  2019 | Preprint | PUB-ID: 2956081

  J. Chaker, M. Kaßmann, and M. Weidner, “Robust Hölder Estimates for Parabolic Nonlocal Operators”, arXiv:1912.09919, 2019.

  PUB | arXiv
   
• [41]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937739

  K. - U. Bux, M. Kaßmann, and T. Schulze, “Quadratic forms and Sobolev spaces of fractional order”, Proceedings of the London Mathematical Society , 2019, 119, 841-866.

  PUB | DOI | WoS | arXiv
   
• [40]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2939199

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

  PUB | DOI | WoS
   
• [39]
  

  2019 | Sammelwerksbeitrag | PUB-ID: 2956110

  M. Kaßmann, in Spectral structures and topological methods in mathematics, Ems Publ. House, Z\"{U}Rich, 2019, p. 183-196.

  PUB | DOI
   
• [38]
  

  2019 | Preprint | PUB-ID: 2956080

  M. Kaßmann, K. - Y. Kim, and T. Kumagai, “Heat kernel bounds for nonlocal operators with singular kernels”, arXiv:1910.04242, 2019.

  PUB | arXiv
   
• [37]
  

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

  M. Kaßmann, T. Mengesha, and J. Scott, “Solvability of nonlocal systems related to peridynamics”, Communications on Pure and Applied Analysis , 2019, 18, 1303-1332.

  PUB | DOI | WoS
   
• [36]
  

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

  J. Chaker, and M. Kaßmann, “Nonlocal operators with singular anisotropic kernels”, Communications in Partial Differential Equations , 2019, 45, 1-31.

  PUB | DOI | WoS
   
• [35]
  

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

  B. Dyda, and M. Kaßmann, “Function spaces and extension results for nonlocal Dirichlet problems”, Journal of Functional Analysis , 2019, 277, : UNSP 108134.

  PUB | DOI | WoS
   
• [34]
  

  2017 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2954098

  M. Kaßmann, in Recent Developments in Nonlocal Theory (Eds.: G. Palatucci, T. Kuusi), De Gruyter , Berlin, 2017, p. 274-302.

  PUB | DOI
   
• [33]
  

  2017 | Preprint | PUB-ID: 2956118

  D. Dier, M. Kaßmann, and R. Zacher, “Discrete versions of the Li-Yau gradient estimate”, arXiv:1701.04807, 2017.

  PUB | arXiv
   
• [32]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2912351

  M. Kaßmann, and A. Mimica, “Intrinsic scaling properties for nonlocal operators”, Journal of the European Mathematical Society, 2017, 19, 983-1011.

  PUB | DOI | WoS
   
• [31]
  

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

  Stochastic partial differential equations and related fields, Springer, Cham, 2016.

  PUB | DOI
   
• [30]
  

  2015 | Preprint | PUB-ID: 2956121

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

  PUB | arXiv
   
• [29]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2730770

  M. Felsinger, M. Kaßmann, and P. Voigt, “The Dirichlet problem for nonlocal operators”, Mathematische Zeitschrift, 2015, 279, 779-809.

  PUB | DOI | WoS
   
• [28]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954099

  R. Schwab, M. Rang, and M. Kaßmann, “Integro-Differential equations with nonlinear directional dependence”, Indiana University Mathematics Journal, 2014, 63, 1467-1498.

  PUB | DOI | WoS
   
• [27]
  

  2014 | Preprint | PUB-ID: 2956123

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

  PUB | arXiv
   
• [26]
  

  2014 | Preprint | PUB-ID: 2956119

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

  PUB | arXiv
   
• [25]
  

  2014 | Zeitschriftenaufsatz | PUB-ID: 2956078

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

  PUB | Download (ext.)
   
• [24]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2622424

  B. Dyda, and M. Kaßmann, “On weighted Poincaré inequalities”, Annales Academiae Scientiarum Fennicae Mathematica, 2013, 38, 721-726.

  PUB | DOI | WoS
   
• [23]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2560131

  M. Kaßmann, and A. Mimica, “Analysis of jump processes with nondegenerate jumping kernels”, Stochastic Processes And Their Applications, 2013, 123, 629-650.

  PUB | DOI | WoS
   
• [22]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2625589

  M. Felsinger, and M. Kaßmann, “Local Regularity for Parabolic Nonlocal Operators”, Communications In Partial Differential Equations, 2013, 38, 1539-1573.

  PUB | DOI | WoS
   
• [21]
  

  2011 | Preprint | PUB-ID: 2956125

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

  PUB | arXiv
   
• [20]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2307244

  M. Kaßmann, “A new formulation of Harnack's inequality for nonlocal operators”, Comptes Rendus Mathematique, 2011, 349, 637-640.

  PUB | DOI | WoS
   
• [19]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954100

  R. F. Bass, M. Kaßmann, and T. Kumagai, “Symmetric jump processes: Localization, heat kernels and convergence”, Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2010, 46, 59-71.

  PUB | DOI | WoS
   
• [18]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954102

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

  PUB | DOI | WoS
   
• [17]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954101

  M. T. Barlow, R. F. Bass, Z. - Q. Chen, and M. Kaßmann, “Non-local Dirichlet forms and symmetric jump processes”, Transactions of the American Mathematical Society, 2009, 361, 1963-1999.

  PUB | DOI
   
• [16]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929301

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

  PUB | DOI | WoS
   
• [15]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1589471

  H. Abels, and M. Kaßmann, “The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels”, Osaka journal of mathematics, 2009, 46, 661-683.

  PUB | WoS
   
• [14]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954103

  M. Kaßmann, “The theory of De Giorgi for non-local operators”, Comptes Rendus Mathematique, 2007, 345, 621-624.

  PUB | DOI | WoS
   
• [13]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954104

  R. Husseini, and M. Kaßmann, “Markov Chain Approximations for Symmetric Jump Processes”, Potential Analysis, 2007, 27, 353-380.

  PUB | DOI | WoS
   
• [12]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954105

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

  PUB | DOI | WoS
   
• [11]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954106

  H. Abels, and M. Kaßmann, “An analytic approach to purely nonlocal Bellman equations arising in models of stochastic control”, Journal of Differential Equations, 2007, 236, 29-56.

  PUB | DOI | WoS
   
• [10]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954107

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

  PUB | DOI | WoS
   
• [9]
  

  2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954109

  J. Frehse, and M. Kaßmann, “Nonlinear partial differential equations of fourth order under mixed boundary conditions”, Mathematische Zeitschrift, 2006, 254, 33-54.

  PUB | DOI | WoS
   
• [8]
  

  2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954108

  M. Kaßmann, “L-harmonische Funktionen und Sprungprozesse”, Mitteilungen der Deutschen Mathematiker-Vereinigung, 2006, 14, 80-87.

  PUB | DOI
   
• [7]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954110

  R. F. Bass, and M. Kaßmann, “Hölder Continuity of Harmonic Functions with Respect to Operators of Variable Order”, Communications in Partial Differential Equations, 2005, 30, 1249-1259.

  PUB | DOI | WoS
   
• [6]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954111

  R. F. Bass, and M. Kaßmann, “Harnack inequalities for non-local operators of variable order”, Transactions of the American Mathematical Society, 2005, 357, 837-850.

  PUB | DOI | WoS
   
• [5]
  

  2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954112

  M. Kaßmann, “On Regularity for Beurling–Deny Type Dirichlet Forms”, Potential Analysis, 2003, 19, 69-87.

  PUB | DOI | WoS
   
• [4]
  

  2003 | Sammelwerksbeitrag | PUB-ID: 2956115

  C. Ebmeyer, J. Frehse, and M. Kaßmann, in Geometric analysis and nonlinear partial differential equations, Springer, Berlin, 2003, p. 505-517.

  PUB
   
• [3]
  

  2003 | Zeitschriftenaufsatz | PUB-ID: 2956114

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

  PUB
   
• [2]
  

  2002 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2954113

  M. Kaßmann, and M. Steinhauer, in Nonlinear Problems in Mathematical Physics and Related Topics I (Eds.: M.S. Birman, S. Hildebrandt, V.A. Solonnikov, N.N. Uraltseva), Springer Us, Boston, MA, 2002, p. 187-202.

  PUB | DOI
   
• [1]
  

  2001 | Monographie | PUB-ID: 2956113

  M. Kaßmann, Harnack-Ungleichungen für nichtlokale Differentialoperatoren und Dirichlet-Formen, Universit\"{A}T Bonn, Mathematisches Institut, Bonn, 2001.

  PUB