## Kassmann, Moritz

Compute Distance To:
 Author ID: kassmann.moritz Published as: Kassmann, Moritz; Kaßmann, Moritz; Kassmann, M. External Links: MGP
 Documents Indexed: 39 Publications since 2001, including 1 Book 1 Contribution as Editor Co-Authors: 34 Co-Authors with 29 Joint Publications 605 Co-Co-Authors
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### Co-Authors

 9 single-authored 4 Bass, Richard F. 3 Dyda, Bartłomiej 2 Abels, Helmut 2 Felsinger, Matthieu 2 Frehse, Jens 2 Husseini, Ryad 2 Mimica, Ante 2 Schwab, Russell W. 2 Voigt, Paul 1 Barlow, Martin T. 1 Bux, Kai-Uwe 1 Chaker, Jamil 1 Chen, Zhen-Qing 1 Dier, Dominik 1 Eberle, Andreas 1 Ebmeyer, Carsten 1 Foghem Gounoue, Guy Fabrice 1 Grothaus, Martin 1 Grzywny, Tomasz 1 Hoh, Walter 1 Karch, Grzegorz 1 Krupski, Miłosz 1 Kumagai, Takashi 1 Leżaj, Łukasz 1 Mengesha, Tadele 1 Oshima, Yoichi 1 Piatnitski, Andrey L. 1 Rang, Marcus 1 Schulze, Tim P. 1 Scott, James M. 1 Stannat, Wilhelm 1 Steinhauer, Mark 1 Trutnau, Gerald 1 Zacher, Rico 1 Zhizhina, Elena Anatol’evna
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### Serials

 3 Communications in Partial Differential Equations 3 Potential Analysis 2 Indiana University Mathematics Journal 2 Mathematische Zeitschrift 2 Transactions of the American Mathematical Society 2 SIAM Journal on Mathematical Analysis 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Osaka Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Stochastic Processes and their Applications 1 Calculus of Variations and Partial Differential Equations 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Journal of the European Mathematical Society (JEMS) 1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 1 Communications on Pure and Applied Analysis 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Boundary Value Problems 1 Bonner Mathematische Schriften 1 Analysis & PDE 1 Rivista di Matematica della Università di Parma. New Series 1 Springer Proceedings in Mathematics & Statistics
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### Fields

 30 Partial differential equations (35-XX) 22 Probability theory and stochastic processes (60-XX) 17 Operator theory (47-XX) 13 Potential theory (31-XX) 7 Integral equations (45-XX) 4 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

34 Publications have been cited 709 times in 412 Documents Cited by Year
Non-local Dirichlet forms and symmetric jump processes. Zbl 1166.60045
Barlow, Martin T.; Bass, Richard F.; Chen, Zhen-Qing; Kassmann, Moritz
2009
A priori estimates for integro-differential operators with measurable kernels. Zbl 1158.35019
Kassmann, Moritz
2009
The Dirichlet problem for nonlocal operators. Zbl 1317.47046
Felsinger, Matthieu; Kassmann, Moritz; Voigt, Paul
2015
Harnack inequalities for non-local operators of variable order. Zbl 1052.60060
Bass, Richard F.; Kassmann, Moritz
2005
Hölder continuity of harmonic functions with respect to operators of variable order. Zbl 1087.45004
Bass, Richard F.; Kassmann, Moritz
2005
Local regularity for parabolic nonlocal operators. Zbl 1277.35090
Felsinger, Matthieu; Kassmann, Moritz
2013
Symmetric jump processes: localization, heat kernels and convergence. Zbl 1201.60078
Bass, Richard F.; Kassmann, Moritz; Kumagai, Takashi
2010
Intrinsic scaling properties for nonlocal operators. Zbl 1371.35316
Kassmann, Moritz; Mimica, Ante
2017
Integro-differential equations with nonlinear directional dependence. Zbl 1311.35047
Schwab, Russell W.; Rang, Marcus; Kassmann, Moritz
2014
Regularity results for nonlocal parabolic equations. Zbl 1329.35095
Kassmann, Moritz; Schwab, W. Russell
2014
The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels. Zbl 1196.47037
Abels, Helmut; Kassmann, Moritz
2009
Harnack inequalities: an introduction. Zbl 1144.35002
Kassmann, Moritz
2007
A new formulation of Harnack’s inequality for nonlocal operators. Zbl 1236.31003
Kassmann, Moritz
2011
Markov chain approximations for symmetric jump processes. Zbl 1128.60071
Husseini, Ryad; Kassmann, Moritz
2007
Regularity estimates for elliptic nonlocal operators. Zbl 1437.35175
Dyda, Bartłomiej; Kassmann, Moritz
2020
On weighted Poincaré inequalities. Zbl 1292.35010
Dyda, Bartłomiej; Kassmann, Moritz
2013
Jump processes, $$\mathcal L$$-harmonic functions, continuity estimates and the Feller property. Zbl 1203.60125
Husseini, Ryad; Kassmann, Moritz
2009
Difference quotients and elliptic mixed boundary problems of second order. Zbl 1213.35201
Kassmann, Moritz; Madych, W. R.
2007
Analysis of jump processes with nondegenerate jumping kernels. Zbl 1259.60100
Kassmann, Moritz; Mimica, Ante
2013
The theory of De Giorgi for non-local operators. Zbl 1129.45006
Kassmann, Moritz
2007
Homogenization of Lévy-type operators with oscillating coefficients. Zbl 1434.45001
Kassmann, M.; Piatnitski, A.; Zhizhina, E.
2019
An analytic approach to purely nonlocal Bellman equations arising in models of stochastic control. Zbl 1119.47048
Abels, Helmut; Kassmann, Moritz
2007
Function spaces and extension results for nonlocal Dirichlet problems. Zbl 1432.46019
Dyda, Bartłomiej; Kassmann, Moritz
2019
Nonlocal operators with singular anisotropic kernels. Zbl 07143800
Chaker, Jamil; Kassmann, Moritz
2020
Quadratic forms and Sobolev spaces of fractional order. Zbl 07119250
Bux, Kai-Uwe; Kassmann, Moritz; Schulze, Tim
2019
Solvability of nonlocal systems related to peridynamics. Zbl 1470.74010
Kassmann, Moritz; Mengesha, Tadele; Scott, James
2019
Harnack inequalities for nonlocal differential operators and Dirichlet forms. (Harnack-Ungleichungen für nichtlokale Differentialoperatoren und Dirichlet-Formen.) Zbl 0981.31005
Kaßmann, Moritz
2001
On regularity for Beurling-Deny type Dirichlet forms. Zbl 1024.31007
Kassmann, Moritz
2003
Discrete versions of the Li-Yau gradient estimate. Zbl 1476.35289
Dier, Dominik; Kassmann, Moritz; Zacher, Rico
2021
Nonlinear partial differential equations of fourth order under mixed boundary conditions. Zbl 1220.35071
Frehse, Jens; Kassmann, Moritz
2006
Remarks on the nonlocal Dirichlet problem. Zbl 1456.35059
Grzywny, Tomasz; Kassmann, Moritz; Leżaj, Łukasz
2021
Stochastic partial differential equations and related fields. In honor of Michael Röckner, SPDERF, Bielefeld, Germany, October 10–14, 2016. Zbl 1402.35005
2018
$$\mathcal L$$-harmonic functions and jump processes. ($$\mathcal L$$-harmonische Funktionen und Sprungprozesse.) Zbl 1243.31002
Kassmann, Moritz
2006
Boundary regularity for nonlinear elliptic systems: applications to the transmission problem. Zbl 1109.35326
Ebmeyer, Carsten; Frehse, Jens; Kassmann, Moritz
2003
Discrete versions of the Li-Yau gradient estimate. Zbl 1476.35289
Dier, Dominik; Kassmann, Moritz; Zacher, Rico
2021
Remarks on the nonlocal Dirichlet problem. Zbl 1456.35059
Grzywny, Tomasz; Kassmann, Moritz; Leżaj, Łukasz
2021
Regularity estimates for elliptic nonlocal operators. Zbl 1437.35175
Dyda, Bartłomiej; Kassmann, Moritz
2020
Nonlocal operators with singular anisotropic kernels. Zbl 07143800
Chaker, Jamil; Kassmann, Moritz
2020
Homogenization of Lévy-type operators with oscillating coefficients. Zbl 1434.45001
Kassmann, M.; Piatnitski, A.; Zhizhina, E.
2019
Function spaces and extension results for nonlocal Dirichlet problems. Zbl 1432.46019
Dyda, Bartłomiej; Kassmann, Moritz
2019
Quadratic forms and Sobolev spaces of fractional order. Zbl 07119250
Bux, Kai-Uwe; Kassmann, Moritz; Schulze, Tim
2019
Solvability of nonlocal systems related to peridynamics. Zbl 1470.74010
Kassmann, Moritz; Mengesha, Tadele; Scott, James
2019
Stochastic partial differential equations and related fields. In honor of Michael Röckner, SPDERF, Bielefeld, Germany, October 10–14, 2016. Zbl 1402.35005
2018
Intrinsic scaling properties for nonlocal operators. Zbl 1371.35316
Kassmann, Moritz; Mimica, Ante
2017
The Dirichlet problem for nonlocal operators. Zbl 1317.47046
Felsinger, Matthieu; Kassmann, Moritz; Voigt, Paul
2015
Integro-differential equations with nonlinear directional dependence. Zbl 1311.35047
Schwab, Russell W.; Rang, Marcus; Kassmann, Moritz
2014
Regularity results for nonlocal parabolic equations. Zbl 1329.35095
Kassmann, Moritz; Schwab, W. Russell
2014
Local regularity for parabolic nonlocal operators. Zbl 1277.35090
Felsinger, Matthieu; Kassmann, Moritz
2013
On weighted Poincaré inequalities. Zbl 1292.35010
Dyda, Bartłomiej; Kassmann, Moritz
2013
Analysis of jump processes with nondegenerate jumping kernels. Zbl 1259.60100
Kassmann, Moritz; Mimica, Ante
2013
A new formulation of Harnack’s inequality for nonlocal operators. Zbl 1236.31003
Kassmann, Moritz
2011
Symmetric jump processes: localization, heat kernels and convergence. Zbl 1201.60078
Bass, Richard F.; Kassmann, Moritz; Kumagai, Takashi
2010
Non-local Dirichlet forms and symmetric jump processes. Zbl 1166.60045
Barlow, Martin T.; Bass, Richard F.; Chen, Zhen-Qing; Kassmann, Moritz
2009
A priori estimates for integro-differential operators with measurable kernels. Zbl 1158.35019
Kassmann, Moritz
2009
The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels. Zbl 1196.47037
Abels, Helmut; Kassmann, Moritz
2009
Jump processes, $$\mathcal L$$-harmonic functions, continuity estimates and the Feller property. Zbl 1203.60125
Husseini, Ryad; Kassmann, Moritz
2009
Harnack inequalities: an introduction. Zbl 1144.35002
Kassmann, Moritz
2007
Markov chain approximations for symmetric jump processes. Zbl 1128.60071
Husseini, Ryad; Kassmann, Moritz
2007
Difference quotients and elliptic mixed boundary problems of second order. Zbl 1213.35201
Kassmann, Moritz; Madych, W. R.
2007
The theory of De Giorgi for non-local operators. Zbl 1129.45006
Kassmann, Moritz
2007
An analytic approach to purely nonlocal Bellman equations arising in models of stochastic control. Zbl 1119.47048
Abels, Helmut; Kassmann, Moritz
2007
Nonlinear partial differential equations of fourth order under mixed boundary conditions. Zbl 1220.35071
Frehse, Jens; Kassmann, Moritz
2006
$$\mathcal L$$-harmonic functions and jump processes. ($$\mathcal L$$-harmonische Funktionen und Sprungprozesse.) Zbl 1243.31002
Kassmann, Moritz
2006
Harnack inequalities for non-local operators of variable order. Zbl 1052.60060
Bass, Richard F.; Kassmann, Moritz
2005
Hölder continuity of harmonic functions with respect to operators of variable order. Zbl 1087.45004
Bass, Richard F.; Kassmann, Moritz
2005
On regularity for Beurling-Deny type Dirichlet forms. Zbl 1024.31007
Kassmann, Moritz
2003
Boundary regularity for nonlinear elliptic systems: applications to the transmission problem. Zbl 1109.35326
Ebmeyer, Carsten; Frehse, Jens; Kassmann, Moritz
2003
Harnack inequalities for nonlocal differential operators and Dirichlet forms. (Harnack-Ungleichungen für nichtlokale Differentialoperatoren und Dirichlet-Formen.) Zbl 0981.31005
Kaßmann, Moritz
2001
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### Cited by 457 Authors

 27 Chen, Zhen-Qing 24 Kumagai, Takashi 20 Kassmann, Moritz 20 Wang, Jian 17 Kim, Panki 11 Bass, Richard F. 9 Kim, Yong-Cheol 8 Caffarelli, Luis Ángel 8 Chen, Xin 8 Jarohs, Sven 8 Weth, Tobias 7 Ros-Oton, Xavier 7 Song, Renming 7 Valdinoci, Enrico 7 Vazquez, Juan Luis 6 de Pablo, Arturo 6 Grigor’yan, Alexander Asaturovich 6 Lee, Ki-Ahm 6 Mimica, Ante 6 Zacher, Rico 5 Barlow, Martin T. 5 Bogdan, Krzysztof 5 Grubb, Gerd 5 Grzywny, Tomasz 5 Guillen, Nestor 5 Mengesha, Tadele 5 Schwab, Russell W. 5 Silvestre, Luis E. 5 Sire, Yannick 5 Uemura, Toshihiro 4 Abels, Helmut 4 Bonforte, Matteo 4 Chaker, Jamil 4 Cozzi, Matteo 4 Dávila, Gonzalo 4 D’Elia, Marta 4 Dipierro, Serena 4 Du, Qiang 4 Fall, Mouhamed Moustapha 4 Imbert, Cyril 4 Kim, Kyung Youn 4 Lindgren, Erik 4 Palatucci, Giampiero 4 Peral Alonso, Ireneo 4 Primo, Ana R. M. 4 Schilling, René Leander 4 Shiozawa, Yuichi 4 Topp, Erwin 4 Vondraček, Zoran 3 Abdellaoui, Boumediene 3 Alonso Rodríguez, Ana 3 Bellido, José Carlos 3 Brasco, Lorenzo 3 Felmer, Patricio L. 3 Figalli, Alessio 3 Gunzburger, Max D. 3 Hu, Jiaxin 3 Husseini, Ryad 3 Jakobsen, Espen Robstad 3 Jin, Tianling 3 Kim, Minhyun 3 Knopova, Victoria Pavlovna 3 Masamune, Jun 3 Mikulevicius, Remigijus 3 Quaas, Alexander 3 Quirós Gracián, Fernando 3 Saldaña, Alberto 3 Scott, James M. 3 Serra Montolí, Joaquim 3 Sztonyk, Paweł 3 Tian, Xiaochuan 3 Wei, Juncheng 2 Allen, Mark G. 2 Andrés, Fuensanta 2 Andres, Sebastian 2 Barles, Guy 2 Barrios Barrera, Begoña 2 Bendikov, Alexander D. 2 Biočić, Ivan 2 Biswas, Anup 2 Cesbron, Ludovic 2 Chang-Lara, Héctor A. 2 Chasseigne, Emmanuel 2 Chen, Huyuan 2 Chen, Xiaoshan 2 Cho, Soobin 2 Chowdhury, Indranil 2 Cifani, Simone 2 Ciomaga, Adina 2 Deuschel, Jean-Dominique 2 Djida, Jean Daniel 2 Duan, Jinqiao 2 Dyda, Bartłomiej 2 Felli, Veronica 2 Fernández-Real, Xavier 2 Ferrari, Fausto 2 Garofalo, Nicola 2 Giacomoni, Jacques 2 Gil’, Michael Iosif 2 Hansen, Wolfhard ...and 357 more Authors
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### Cited in 129 Serials

 23 Journal of Functional Analysis 22 Potential Analysis 22 Calculus of Variations and Partial Differential Equations 20 Journal of Differential Equations 16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Journal of Mathematical Analysis and Applications 12 Transactions of the American Mathematical Society 11 Communications in Partial Differential Equations 11 Stochastic Processes and their Applications 11 Discrete and Continuous Dynamical Systems 8 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 7 Archive for Rational Mechanics and Analysis 7 Mathematische Annalen 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 SIAM Journal on Mathematical Analysis 7 Communications on Pure and Applied Analysis 6 Advances in Mathematics 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Proceedings of the American Mathematical Society 6 Probability Theory and Related Fields 6 Journal of Theoretical Probability 5 The Annals of Probability 5 Mathematische Zeitschrift 5 NoDEA. Nonlinear Differential Equations and Applications 4 Communications on Pure and Applied Mathematics 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Bernoulli 4 Journal of the European Mathematical Society (JEMS) 4 Communications in Contemporary Mathematics 3 Communications in Mathematical Physics 3 Mathematische Nachrichten 3 Memoirs of the American Mathematical Society 3 Osaka Journal of Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Fractional Calculus & Applied Analysis 3 Acta Mathematica Sinica. English Series 3 Journal of Evolution Equations 3 Discrete and Continuous Dynamical Systems. Series S 2 Applicable Analysis 2 Computers & Mathematics with Applications 2 Computer Methods in Applied Mechanics and Engineering 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Applied Mathematics and Optimization 2 Mathematics and Computers in Simulation 2 Tohoku Mathematical Journal. Second Series 2 Acta Applicandae Mathematicae 2 The Journal of Geometric Analysis 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 SIAM Journal on Scientific Computing 2 Topological Methods in Nonlinear Analysis 2 Annals of Mathematics. Second Series 2 Nonlinear Analysis. Real World Applications 2 Advances in Calculus of Variations 2 Analysis & PDE 2 Mathematical Control and Related Fields 2 Advances in Nonlinear Analysis 2 SN Partial Differential Equations and Applications 1 Inverse Problems 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Studia Mathematica 1 Arkiv för Matematik 1 Theory of Probability and its Applications 1 BIT 1 Duke Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 Inventiones Mathematicae 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Monatshefte für Mathematik 1 Numerische Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Semigroup Forum 1 Journal of Complexity 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Publicacions Matemàtiques 1 Journal of Integral Equations and Applications 1 Science in China. Series A 1 Journal of Applied Mathematics and Stochastic Analysis 1 The Annals of Applied Probability 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Theory of Probability and Mathematical Statistics 1 Electronic Journal of Differential Equations (EJDE) 1 Bulletin des Sciences Mathématiques 1 Advances in Computational Mathematics 1 Opuscula Mathematica 1 Electronic Journal of Probability 1 The Journal of Fourier Analysis and Applications 1 Documenta Mathematica 1 Abstract and Applied Analysis 1 Positivity 1 Far East Journal of Applied Mathematics 1 Annales Henri Poincaré ...and 29 more Serials
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### Cited in 35 Fields

 284 Partial differential equations (35-XX) 164 Probability theory and stochastic processes (60-XX) 114 Operator theory (47-XX) 51 Potential theory (31-XX) 51 Integral equations (45-XX) 29 Functional analysis (46-XX) 23 Real functions (26-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 11 Measure and integration (28-XX) 11 Mechanics of deformable solids (74-XX) 10 Numerical analysis (65-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Fluid mechanics (76-XX) 8 Systems theory; control (93-XX) 6 Ordinary differential equations (34-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Functions of a complex variable (30-XX) 4 Difference and functional equations (39-XX) 3 Combinatorics (05-XX) 3 Quantum theory (81-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 2 Differential geometry (53-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Optics, electromagnetic theory (78-XX) 1 Information and communication theory, circuits (94-XX)