Global well-posedness of a class of stochastic equations with jumps

DOI10.1186/1687-1847-2013-175zbMath1390.60251OpenAlexW2116861053WikidataQ59301273 ScholiaQ59301273MaRDI QIDQ1648749

Guo Li Zhou

Publication date: 27 June 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-175

zbMATH Keywords

Lévy processesmild solutionstochastic evolution equation

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) PDEs in connection with fluid mechanics (35Q35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

On classical solutions of linear stochastic integro-differential equations ⋮ The Keller-Osserman-type conditions for the study of a semilinear elliptic system

Cites Work

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• Stochastic generalized porous media equations with Lévy jump
• Parabolic SPDEs driven by Poisson white noise
• The heat equation with Lévy noise
• Stochastic partial differential equation driven by stable noise
• Malliavin calculus for parabolic SPDEs with jumps.
• Stability of infinite dimensional stochastic evolution equations with memory and Markovian jumps
• Lévy Processes and Stochastic Calculus
• Stochastic Partial Differential Equations with Levy Noise

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