PUB - Publikationen an der Universität Bielefeld

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• [58]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2962534

  Foghem, G., & Kaßmann, M., 2024. A general framework for nonlocal Neumann problems. Communications in Mathematical Sciences , 22(1), p 15-66.

  PUB | DOI | WoS | arXiv
   
• [57]
  

  2023 | Preprint | Angenommen | PUB-ID: 2986706

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

  PUB | DOI | arXiv
   
• [56]
  

  2023 | Preprint | PUB-ID: 2986704

  Jarohs, S., Kaßmann, M., & Weth, T., 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, S., & Kaßmann, M., 2023. The divergence theorem and nonlocal counterparts. Bulletin of the London Mathematical Society.

  PUB | DOI | WoS | arXiv
   
• [54]
  

  2023 | Preprint | PUB-ID: 2980571

  Grube, F., & Kaßmann, M., 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, M., Kim, M., & Lee, K.-A., 2023. Robust Near-Diagonal Green Function Estimates. International Mathematics Research Notices, : rnad106.

  PUB | DOI | WoS | arXiv
   
• [52]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2968030

  Kaßmann, M., & Weidner, M., 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, K., et al., 2023. Shot-down stable processes. arXiv:2301.12290.

  PUB | arXiv
   
• [50]
  

  2022 | Preprint | PUB-ID: 2962914

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

  PUB | arXiv
   
• [49]
  

  2022 | Preprint | PUB-ID: 2962913

  Kaßmann, M., & Weidner, M., 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, M., & Wagner, V., 2022. Nonlocal quadratic forms with visibility constraint. Mathematische Zeitschrift .

  PUB | DOI | WoS | arXiv
   
• [47]
  

  2021 | Preprint | PUB-ID: 2956079

  Kang, J., & 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., & 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., & Voigt, P., 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, G., Kaßmann, M., & Krupski, M., 2020. A Framework for Nonlocal, Nonlinear Initial Value Problems. SIAM Journal on Mathematical Analysis, 52(3), p 2383-2410.

  PUB | DOI | WoS
   
• [43]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942740

  Dyda, B., & Kaßmann, M., 2020. Regularity estimates for elliptic nonlocal operators. Analysis & PDE , 13(2), p 317-370.

  PUB | DOI | WoS
   
• [42]
  

  2019 | Preprint | PUB-ID: 2956081

  Chaker, J., Kaßmann, M., & 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., & Schulze, T., 2019. Quadratic forms and Sobolev spaces of fractional order. Proceedings of the London Mathematical Society , 119(3), p 841-866.

  PUB | DOI | WoS | arXiv
   
• [40]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2939199

  Kaßmann, M., Piatnitski, A., & Zhizhina, E., 2019. Homogenization of Lévy-type Operators with Oscillating Coefficients. SIAM Journal on Mathematical Analysis, 51(5), p 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, pp. 183-196.

  PUB | DOI
   
• [38]
  

  2019 | Preprint | PUB-ID: 2956080

  Kaßmann, M., Kim, K.-Y., & 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., & Scott, J., 2019. Solvability of nonlocal systems related to peridynamics. Communications on Pure and Applied Analysis , 18(3), p 1303-1332.

  PUB | DOI | WoS
   
• [36]
  

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

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

  PUB | DOI | WoS
   
• [35]
  

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

  Dyda, B., & Kaßmann, M., 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, M., 2017. Jump Processes and Nonlocal Operators. In G. Palatucci & T. Kuusi, eds. Recent Developments in Nonlocal Theory. Berlin: De Gruyter , pp. 274-302.

  PUB | DOI
   
• [33]
  

  2017 | Preprint | PUB-ID: 2956118

  Dier, D., Kaßmann, M., & 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., & Mimica, A., 2017. Intrinsic scaling properties for nonlocal operators. Journal of the European Mathematical Society, 19(4), p 983-1011.

  PUB | DOI | WoS
   
• [31]
  

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

  M. Kaßmann, et al., eds., 2016. Stochastic partial differential equations and related fields, Springer Proceedings in Mathematics & Statistics, no.229, Cham: Springer.

  PUB | DOI
   
• [30]
  

  2015 | Preprint | PUB-ID: 2956121

  Bae, J., & 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., & Voigt, P., 2015. The Dirichlet problem for nonlocal operators. Mathematische Zeitschrift, 279(3-4), p 779-809.

  PUB | DOI | WoS
   
• [28]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954099

  Schwab, R., Rang, M., & Kaßmann, M., 2014. Integro-Differential equations with nonlinear directional dependence. Indiana University Mathematics Journal, 63(5), p 1467-1498.

  PUB | DOI | WoS
   
• [27]
  

  2014 | Preprint | PUB-ID: 2956123

  Kaßmann, M., & 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., & Schwab, R.W., 2014. Regularity results for nonlocal parabolic equations. Riv. Math. Univ. Parma (N.S.), 5(1), p 183-212.

  PUB | Download (ext.)
   
• [24]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2622424

  Dyda, B., & Kaßmann, M., 2013. On weighted Poincaré inequalities. Annales Academiae Scientiarum Fennicae Mathematica, 38(2), p 721-726.

  PUB | DOI | WoS
   
• [23]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2560131

  Kaßmann, M., & Mimica, A., 2013. Analysis of jump processes with nondegenerate jumping kernels. Stochastic Processes And Their Applications, 123(2), p 629-650.

  PUB | DOI | WoS
   
• [22]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2625589

  Felsinger, M., & Kaßmann, M., 2013. Local Regularity for Parabolic Nonlocal Operators. Communications In Partial Differential Equations, 38(9), p 1539-1573.

  PUB | DOI | WoS
   
• [21]
  

  2011 | Preprint | PUB-ID: 2956125

  Dyda, B., & 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(11-12), p 637-640.

  PUB | DOI | WoS
   
• [19]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954100

  Bass, R.F., Kaßmann, M., & Kumagai, T., 2010. Symmetric jump processes: Localization, heat kernels and convergence. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 46(1), p 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), p 1-21.

  PUB | DOI | WoS
   
• [17]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954101

  Barlow, M.T., et al., 2009. Non-local Dirichlet forms and symmetric jump processes. Transactions of the American Mathematical Society, 361(04), p 1963-1999.

  PUB | DOI
   
• [16]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929301

  Husseini, R., & Kaßmann, M., 2009. Jump processes, L-harmonic functions, continuity estimates and the Feller property. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 45(4), p 1099-1115.

  PUB | DOI | WoS
   
• [15]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1589471

  Abels, H., & Kaßmann, M., 2009. The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels. Osaka journal of mathematics, 46(3), p 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(11), p 621-624.

  PUB | DOI | WoS
   
• [13]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954104

  Husseini, R., & Kaßmann, M., 2007. Markov Chain Approximations for Symmetric Jump Processes. Potential Analysis, 27(4), p 353-380.

  PUB | DOI | WoS
   
• [12]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954105

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

  PUB | DOI | WoS
   
• [11]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954106

  Abels, H., & Kaßmann, M., 2007. An analytic approach to purely nonlocal Bellman equations arising in models of stochastic control. Journal of Differential Equations, 236(1), p 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., & Kaßmann, M., 2006. Nonlinear partial differential equations of fourth order under mixed boundary conditions. Mathematische Zeitschrift, 254(1), p 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(2), p 80-87.

  PUB | DOI
   
• [7]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954110

  Bass, R.F., & Kaßmann, M., 2005. Hölder Continuity of Harmonic Functions with Respect to Operators of Variable Order. Communications in Partial Differential Equations, 30(8), p 1249-1259.

  PUB | DOI | WoS
   
• [6]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954111

  Bass, R.F., & Kaßmann, M., 2005. Harnack inequalities for non-local operators of variable order. Transactions of the American Mathematical Society, 357(2), p 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(1), p 69-87.

  PUB | DOI | WoS
   
• [4]
  

  2003 | Sammelwerksbeitrag | PUB-ID: 2956115

  Ebmeyer, C., Frehse, J., & Kaßmann, M., 2003. Boundary regularity for nonlinear elliptic systems: applications to the transmission problem. In Geometric analysis and nonlinear partial differential equations. Springer, Berlin, pp. 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(5), p Article 107, 3.

  PUB
   
• [2]
  

  2002 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2954113

  Kaßmann, M., & Steinhauer, M., 2002. Existence of a Generalized Green Function for Integro-Differential Operators of Fractional Order. In M. S. Birman, et al., eds. Nonlinear Problems in Mathematical Physics and Related Topics I. International Mathematical Series. no.1 Boston, MA: Springer US, pp. 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], no.336, Universit\"{a}t Bonn, Mathematisches Institut, Bonn.

  PUB