PUB - Publikationen an der Universität Bielefeld

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• [59]
  

  2025 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2978263

  Bogdan, K., Jastrzȩbski, K., Kaßmann, M., Kijaczko, M., and Popławski, P. (2025). Shot-down stable processes. Studia Mathematica 280, 205-245.

  PUB | DOI | WoS | arXiv
   
• [58]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2986706

  Kaßmann, M., and Weidner, M. (2024). The parabolic Harnack inequality for nonlocal equations. Duke Mathematical Journal 173, 3413-3451.

  PUB | DOI | WoS | arXiv | Preprint
   
• [57]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2999527

  Kaßmann, M., and Weidner, M. (2024). The Harnack inequality fails for nonlocal kinetic equations. Advances in Mathematics 459:110030.

  PUB | DOI | WoS
   
• [56]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2962913

  Kaßmann, M., and Weidner, M. (2024). Nonlocal operators related to nonsymmetric forms II: Harnack inequalities. Analysis & PDE 17.

  PUB | DOI | WoS | arXiv
   
• [55]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2962534

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

  PUB | DOI | WoS | arXiv
   
• [54]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2968030

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

  PUB | PDF | DOI | WoS | arXiv
   
• [53]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2978262

  Hepp, S., and Kaßmann, M. (2023). The divergence theorem and nonlocal counterparts. Bulletin of the London Mathematical Society 56, 23 Seiten.

  PUB | PDF | DOI | WoS | arXiv
   
• [52]
  

  2023 | Preprint | PUB-ID: 2980571

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

  PUB | DOI | arXiv
   
• [51]
  

  2023 | Preprint | PUB-ID: 2986704

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

  PUB | arXiv
   
• [50]
  

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

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

  PUB | DOI | WoS | arXiv
   
• [49]
  

  2022 | Preprint | PUB-ID: 2962914

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

  PUB | arXiv
   
• [48]
  

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

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

  PUB | DOI | WoS | arXiv
   
• [47]
  

  2021 | Preprint | PUB-ID: 2956079

  Kang, J., and Kaßmann, M. (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, T., Kaßmann, M., and Lezaj, L. (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, G. F., Kaßmann, M., and Voigt, P. (2020). Mosco convergence of nonlocal to local quadratic forms. Nonlinear Analysis: theory, methods & applications 193:111504.

  PUB | DOI | WoS
   
• [44]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945135

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

  PUB | DOI | WoS
   
• [43]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942740

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

  PUB | DOI | WoS
   
• [42]
  

  2019 | Preprint | PUB-ID: 2956081

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

  PUB | arXiv
   
• [41]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937739

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

  PUB | DOI | WoS | arXiv
   
• [40]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2939199

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

  PUB | DOI | WoS
   
• [39]
  

  2019 | Sammelwerksbeitrag | PUB-ID: 2956110

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

  PUB | DOI
   
• [38]
  

  2019 | Preprint | PUB-ID: 2956080

  Kaßmann, M., Kim, K. - Y., and Kumagai, T. (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, M., Mengesha, T., and Scott, J. (2019). Solvability of nonlocal systems related to peridynamics. Communications on Pure and Applied Analysis 18, 1303-1332.

  PUB | DOI | WoS
   
• [36]
  

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

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

  PUB | DOI | WoS
   
• [35]
  

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

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

  PUB | DOI | WoS
   
• [34]
  

  2017 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2954098

  Kaßmann, M. (2017). “Jump Processes and Nonlocal Operators” in Recent Developments in Nonlocal Theory, Palatucci, G., and Kuusi, T. eds. (Berlin: De Gruyter ), 274-302.

  PUB | DOI
   
• [33]
  

  2017 | Preprint | PUB-ID: 2956118

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

  PUB | arXiv
   
• [32]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2912351

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

  PUB | DOI | WoS
   
• [31]
  

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

  Kaßmann, M., Eberle, A., Grothaus, M., Hoh, W., Stannat, W., and Trutnau, G. eds. (2016). Stochastic partial differential equations and related fields. Springer Proceedings in Mathematics & Statistics, 229, Cham: Springer.

  PUB | DOI
   
• [30]
  

  2015 | Preprint | PUB-ID: 2956121

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

  PUB | arXiv
   
• [29]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2730770

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

  PUB | DOI | WoS
   
• [28]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954099

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

  PUB | DOI | WoS
   
• [27]
  

  2014 | Preprint | PUB-ID: 2956123

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

  PUB | arXiv
   
• [26]
  

  2014 | Preprint | PUB-ID: 2956119

  Kaßmann, M. (2014). On Dirichlet forms and semi-Dirichlet forms. arXiv:1412.7565.

  PUB | arXiv
   
• [25]
  

  2014 | Zeitschriftenaufsatz | PUB-ID: 2956078

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

  PUB | Download (ext.)
   
• [24]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2622424

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

  PUB | DOI | WoS
   
• [23]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2560131

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

  PUB | DOI | WoS
   
• [22]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2625589

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

  PUB | DOI | WoS
   
• [21]
  

  2011 | Preprint | PUB-ID: 2956125

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

  PUB | arXiv
   
• [20]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2307244

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

  PUB | DOI | WoS
   
• [19]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954100

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

  PUB | DOI | WoS
   
• [18]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954102

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

  PUB | DOI | WoS
   
• [17]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954101

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

  PUB | DOI
   
• [16]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929301

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

  PUB | DOI | WoS
   
• [15]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1589471

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

  PUB | WoS
   
• [14]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954103

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

  PUB | DOI | WoS
   
• [13]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954104

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

  PUB | DOI | WoS
   
• [12]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954105

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

  PUB | DOI | WoS
   
• [11]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954106

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

  PUB | DOI | WoS
   
• [10]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954107

  Kaßmann, M. (2007). Harnack Inequalities: An Introduction. Boundary Value Problems 2007:081415.

  PUB | DOI | WoS
   
• [9]
  

  2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954109

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

  PUB | DOI | WoS
   
• [8]
  

  2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954108

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

  PUB | DOI
   
• [7]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954110

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

  PUB | DOI | WoS
   
• [6]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954111

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

  PUB | DOI | WoS
   
• [5]
  

  2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954112

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

  PUB | DOI | WoS
   
• [4]
  

  2003 | Sammelwerksbeitrag | PUB-ID: 2956115

  Ebmeyer, C., Frehse, J., and Kaßmann, M. (2003). “Boundary regularity for nonlinear elliptic systems: applications to the transmission problem” in Geometric analysis and nonlinear partial differential equations (Springer, Berlin), 505-517.

  PUB
   
• [3]
  

  2003 | Zeitschriftenaufsatz | PUB-ID: 2956114

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

  PUB
   
• [2]
  

  2002 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2954113

  Kaßmann, M., and Steinhauer, M. (2002). “Existence of a Generalized Green Function for Integro-Differential Operators of Fractional Order” in Nonlinear Problems in Mathematical Physics and Related Topics I, Birman, M. S., Hildebrandt, S., Solonnikov, V. A., and Uraltseva, N. N. eds. International Mathematical Series, vol. 1, (Boston, MA: Springer US), 187-202.

  PUB | DOI
   
• [1]
  

  2001 | Monographie | PUB-ID: 2956113

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

  PUB