Uni Bielefeld
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Fakultät für Mathematik
Arbeitsgruppe Angewandte Analysis



Recent publications of the SFB 701 research group A8: here

Publications of Moritz Kassmann:

[25] Matthieu Felsinger and Moritz Kassmann. Local regularity for parabolic nonlocal operators. available as SFB 701-preprint no. 12016, 2012. [ http ]
[24] Bartlomiej Dyda and Moritz Kassmann. Comparability and regularity estimates for symmetric nonlocal Dirichlet forms. available as SFB 701-preprint no. 11087, 2011. [ http ]
[23] Moritz Kassmann and Ante Mimica. Analysis of jump processes with nondegenerate jumping kernels. available as SFB 701-preprint no. 11084, 2011. [ http ]
[22] Moritz Kassmann. A new formulation of Harnack's inequality for nonlocal operators. C. R. Math. Acad. Sci. Paris, 349(11-12):637-640, 2011. [ DOI | http ]
[21] Moritz Kassmann. Harnack inequalities and Hölder regularity estimates for nonlocal operators revisited. available as SFB 701-preprint no. 11015, 2011. [ http ]
[20] Richard F. Bass, Moritz Kassmann, and Takashi Kumagai. Symmetric jump processes: Localization, heat kernels and convergence. Ann. Inst. H. Poincaré Probab. Statist., 46(1):59-71, 2010. [ DOI | http ]
[19] Helmut Abels and Moritz Kassmann. The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels. Osaka J. Math., 46(3):661-683, 2009. [ http ]
[18] Martin T. Barlow, Richard F. Bass, Zhen-Qing Chen, and Moritz Kassmann. Non-local Dirichlet forms and symmetric jump processes. Trans. Amer. Math. Soc., 361(4):1963-1999, 2009. [ DOI | http ]
[17] Ryad Husseini and Moritz Kassmann. Jump processes, L-harmonic functions, continuity estimates and the Feller property. Ann. Inst. Henri Poincaré Probab. Stat., 45(4):1099-1115, 2009. [ DOI | http ]
[16] Moritz Kassmann. A priori estimates for integro-differential operators with measurable kernels. Calc. Var. Partial Differential Equations, 34(1):1-21, 2009. [ DOI | http ]
[15] H. Abels and M. Kassmann. An analytic approach to purely nonlocal Bellman equations arising in models of stochastic control. J. Differential Equations, 236(1):29-56, 2007. [ DOI | http ]
[14] Ryad Husseini and Moritz Kassmann. Markov chain approximations for symmetric jump processes. Potential Anal., 27(4):353-380, 2007. [ DOI | http ]
[13] Moritz Kassmann. The classical Harnack inequality fails for nonlocal operators. available as SFB 611-preprint No. 360, 2007. [ http ]
[12] Moritz Kassmann. Harnack inequalities: an introduction. Bound. Value Probl., pages Art. ID 81415, 21, 2007. [ .html ]
[11] Moritz Kassmann. The theory of De Giorgi for non-local operators. C. R. Math. Acad. Sci. Paris, 345(11):621-624, 2007. [ DOI | http ]
[10] M. Kassmann and W. R. Madych. Difference quotients and elliptic mixed boundary value problems of second order. Indiana Univ. Math. J., 56(3):1047-1082, 2007. [ DOI | http ]
[9] Jens Frehse and Moritz Kassmann. Nonlinear partial differential equations of fourth order under mixed boundary conditions. Math. Z., 254(1):33-54, 2006. [ DOI | http ]
[8] Moritz Kassmann. L-harmonische Funktionen und Sprungprozesse. Mitt. Dtsch. Math.-Ver., 14(2):80-87, 2006.
[7] Richard F. Bass and Moritz Kassmann. Harnack inequalities for non-local operators of variable order. Trans. Amer. Math. Soc., 357(2):837-850 (electronic), 2005. [ DOI | http ]
[6] Richard F. Bass and Moritz Kassmann. Hölder continuity of harmonic functions with respect to operators of variable order. Comm. Partial Differential Equations, 30(7-9):1249-1259, 2005. [ DOI | http ]
[5] Carsten Ebmeyer, Jens Frehse, and Moritz Kassmann. Boundary regularity for nonlinear elliptic systems: applications to the transmission problem. In Geometric analysis and nonlinear partial differential equations, pages 505-517. Springer, Berlin, 2003.
[4] Moritz Kassmann. On regularity for Beurling-Deny type Dirichlet forms. Potential Anal., 19(1):69-87, 2003. [ DOI | http ]
[3] Moritz Kassmann. A note on integral inequalities and embeddings of Besov spaces. JIPAM. J. Inequal. Pure Appl. Math., 4(5):Article 107, 3 pp. (electronic), 2003. [ http ]
[2] Moritz Kassmann and Mark Steinhauer. Existence of a generalized Green function for integro-differential operators of fractional order. In Nonlinear problems in mathematical physics and related topics, I, volume 1 of Int. Math. Ser. (N. Y.), pages 187-202. Kluwer/Plenum, New York, 2002.
[1] Moritz Kaßmann. Harnack-Ungleichungen für nichtlokale Differentialoperatoren und Dirichlet-Formen. Bonner Mathematische Schriften [Bonn Mathematical Publications], 336. Universität Bonn Mathematisches Institut, Bonn, 2001. Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn, Bonn, 2000.