Moritz Kaßmann

moritz.kassmann@uni-bielefeld.de
ORCID logo https://orcid.org/0000-0002-7310-712X

PEVZ-ID
11943065

59 Publikationen

Alle markieren

  • [59]
    2025 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2978263
    K. Bogdan, et al., “Shot-down stable processes”, Studia Mathematica, vol. 280, 2025, pp. 205-245.
    PUB | DOI | WoS | arXiv
     
  • [58]
    2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2986706
    M. Kaßmann and M. Weidner, “The parabolic Harnack inequality for nonlocal equations”, Duke Mathematical Journal, vol. 173, 2024, pp. 3413-3451.
    PUB | DOI | WoS | arXiv | Preprint
     
  • [57]
    2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2999527
    M. Kaßmann and M. Weidner, “The Harnack inequality fails for nonlocal kinetic equations”, Advances in Mathematics, vol. 459, 2024, : 110030.
    PUB | DOI | WoS
     
  • [56]
    2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2962913
    M. Kaßmann and M. Weidner, “Nonlocal operators related to nonsymmetric forms II: Harnack inequalities”, Analysis & PDE, vol. 17, 2024.
    PUB | DOI | WoS | arXiv
     
  • [55]
    2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2962534
    G. Foghem and M. Kaßmann, “A general framework for nonlocal Neumann problems”, Communications in Mathematical Sciences , vol. 22, 2024, pp. 15-66.
    PUB | DOI | WoS | arXiv
     
  • [54]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2968030 OA
    M. Kaßmann and M. Weidner, “Upper heat kernel estimates for nonlocal operators via Aronson’s method”, Calculus of Variations and Partial Differential Equations, vol. 62, 2023, : 68.
    PUB | PDF | DOI | WoS | arXiv
     
  • [53]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2978262 OA
    S. Hepp and M. Kaßmann, “The divergence theorem and nonlocal counterparts”, Bulletin of the London Mathematical Society, vol. 56, 2023, pp. 23 Seiten.
    PUB | PDF | DOI | WoS | arXiv
     
  • [52]
    2023 | Preprint | PUB-ID: 2980571
    F. Grube and M. Kaßmann, “Robust nonlocal trace and extension theorems”, arXiv:2305.05735, 2023.
    PUB | DOI | arXiv
     
  • [51]
    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
     
  • [50]
    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
     
  • [49]
    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
     
  • [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, vol. 193, 2020, : 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, vol. 52, 2020, pp. 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 , vol. 13, 2020, pp. 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 , vol. 119, 2019, pp. 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, vol. 51, 2019, pp. 3641-3665.
    PUB | DOI | WoS
     
  • [39]
    2019 | Sammelwerksbeitrag | PUB-ID: 2956110
    M. Kaßmann, “Variational solutions to nonlocal problems”, Spectral structures and topological methods in mathematics, EMS Ser. Congr. Rep., EMS Publ. House, Z\"{u}rich, 2019, pp.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 , vol. 18, 2019, pp. 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 , vol. 45, 2019, pp. 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 , vol. 277, 2019, : UNSP 108134.
    PUB | DOI | WoS
     
  • [34]
    2017 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2954098
    M. Kaßmann, “Jump Processes and Nonlocal Operators”, Recent Developments in Nonlocal Theory, G. Palatucci and T. Kuusi, eds., Berlin: De Gruyter , 2017, pp.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, vol. 19, 2017, pp. 983-1011.
    PUB | DOI | WoS
     
  • [31]
    2016 | Herausgeber*in Sammelwerk | Veröffentlicht | PUB-ID: 2962859
    M. Kaßmann, et al., eds., Stochastic partial differential equations and related fields, Springer Proceedings in Mathematics & Statistics, vol. 229, Cham: Springer, 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, vol. 279, 2015, pp. 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, vol. 63, 2014, pp. 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.), vol. 5, 2014, pp. 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, vol. 38, 2013, pp. 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, vol. 123, 2013, pp. 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, vol. 38, 2013, pp. 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, vol. 349, 2011, pp. 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, vol. 46, 2010, pp. 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, vol. 34, 2009, pp. 1-21.
    PUB | DOI | WoS
     
  • [17]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954101
    M.T. Barlow, et al., “Non-local Dirichlet forms and symmetric jump processes”, Transactions of the American Mathematical Society, vol. 361, 2009, pp. 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, vol. 45, 2009, pp. 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, vol. 46, 2009, pp. 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, vol. 345, 2007, pp. 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, vol. 27, 2007, pp. 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, vol. 56, 2007, pp. 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, vol. 236, 2007, pp. 29-56.
    PUB | DOI | WoS
     
  • [10]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954107
    M. Kaßmann, “Harnack Inequalities: An Introduction”, Boundary Value Problems, vol. 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, vol. 254, 2006, pp. 33-54.
    PUB | DOI | WoS
     
  • [8]
    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954108
    M. Kaßmann, “L-harmonische Funktionen und Sprungprozesse”, Mitteilungen der Deutschen Mathematiker-Vereinigung, vol. 14, 2006, pp. 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, vol. 30, 2005, pp. 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, vol. 357, 2005, pp. 837-850.
    PUB | DOI | WoS
     
  • [5]
    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954112
    M. Kaßmann, “On Regularity for Beurling–Deny Type Dirichlet Forms”, Potential Analysis, vol. 19, 2003, pp. 69-87.
    PUB | DOI | WoS
     
  • [4]
    2003 | Sammelwerksbeitrag | PUB-ID: 2956115
    C. Ebmeyer, J. Frehse, and M. Kaßmann, “Boundary regularity for nonlinear elliptic systems: applications to the transmission problem”, Geometric analysis and nonlinear partial differential equations, Springer, Berlin, 2003, pp.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., vol. 4, 2003, pp. Article 107, 3.
    PUB
     
  • [2]
    2002 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2954113
    M. Kaßmann and M. Steinhauer, “Existence of a Generalized Green Function for Integro-Differential Operators of Fractional Order”, Nonlinear Problems in Mathematical Physics and Related Topics I, M.S. Birman, et al., eds., International Mathematical Series, vol. 1, Boston, MA: Springer US, 2002, pp.187-202.
    PUB | DOI
     
  • [1]
    2001 | Monographie | PUB-ID: 2956113
    M. Kaßmann, Harnack-Ungleichungen für nichtlokale Differentialoperatoren und Dirichlet-Formen, Bonner Mathematische Schriften [Bonn Mathematical Publications], vol. 336, Universit\"{a}t Bonn, Mathematisches Institut, Bonn, 2001.
    PUB
     
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