Upper heat kernel estimates for nonlocal operators via Aronson’s method
Kaßmann M, Weidner M (2023)
Calculus of Variations and Partial Differential Equations 62(2): 68.
Zeitschriftenaufsatz
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Autor*in
Kaßmann, MoritzUniBi 
;
Weidner, Marvin
;
Weidner, MarvinEinrichtung
Abstract / Bemerkung
In his celebrated article, Aronson established Gaussian bounds for the fundamental solution to the Cauchy problem governed by a second order divergence form operator with uniformly elliptic coefficients. We extend Aronson’s proof of upper heat kernel estimates to nonlocal operators whose jumping kernel satisfies a pointwise upper bound and whose energy form is coercive. A detailed proof is given in the Euclidean space and extensions to doubling metric measure spaces are discussed.
Erscheinungsjahr
2023
Zeitschriftentitel
Calculus of Variations and Partial Differential Equations
Band
62
Ausgabe
2
Art.-Nr.
68
Urheberrecht / Lizenzen
ISSN
0944-2669
eISSN
1432-0835
Page URI
https://pub.uni-bielefeld.de/record/2968030
Zitieren
Kaßmann M, Weidner M. Upper heat kernel estimates for nonlocal operators via Aronson’s method. Calculus of Variations and Partial Differential Equations. 2023;62(2): 68.
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. https://doi.org/10.1007/s00526-022-02398-y
Kaßmann, Moritz, and Weidner, Marvin. 2023. “Upper heat kernel estimates for nonlocal operators via Aronson’s method”. Calculus of Variations and Partial Differential Equations 62 (2): 68.
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.
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.
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.
Kaßmann, M., Weidner, M.: Upper heat kernel estimates for nonlocal operators via Aronson’s method. Calculus of Variations and Partial Differential Equations. 62, : 68 (2023).
Kaßmann, Moritz, and Weidner, Marvin. “Upper heat kernel estimates for nonlocal operators via Aronson’s method”. Calculus of Variations and Partial Differential Equations 62.2 (2023): 68.
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