On the behaviour at infinity of solutions to nonlocal parabolic type problems

DOI10.26516/1997-7670.2019.30.99zbMath1439.35192OpenAlexW2997391521MaRDI QIDQ2306841

Elena A. Zhizhina, Andrey L. Piatnitski

Publication date: 26 March 2020

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://mathizv.isu.ru/en/article/file?id=1323

zbMATH Keywords

fundamental solutionparabolic equationsnonlocal operatorsMarkov jump process with independent increments

Mathematics Subject Classification ID

Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Heat kernel (35K08)

Related Items (1)

Large deviations for Markov jump processes in periodic and locally periodic environments

Cites Work

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• Unbounded solutions of the nonlocal heat equation
• Asymptotic formulas for symmetric stable semigroups
• Transition Probabilities for Symmetric Jump Processes
• CORRELATION FUNCTIONS AND INVARIANT MEASURES IN CONTINUOUS CONTACT MODEL
• Pointwise estimates for heat kernels of convolution-type operators
• On ground state of some non local Schrödinger operators
• Bounds for the fundamental solution of a parabolic equation

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