Positivity and explosion in mean \(L^p\)-norm of stochastic functional parabolic equations of retarded type

DOI10.1016/J.SPA.2012.01.012zbMath1242.60062OpenAlexW2087837147MaRDI QIDQ424496

Kai Liu, Pao-Liu Chow

Publication date: 1 June 2012

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spa.2012.01.012

zbMATH Keywords

positivity of solutionsblow-up of solutions in mean \(L^{p}\)-normdiffusion equations of retarded typestochastic functional reaction

Mathematics Subject Classification ID

Gaussian processes (60G15) Stochastic integrals (60H05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (8)

Explosive solutions of parabolic stochastic partial differential equations with Lévy noise ⋮ The probability of events for stochastic parabolic equations ⋮ Blow-up for stochastic reaction-diffusion equations with jumps ⋮ Finite time blowup in \(L^2\) sense of solutions to SPDEs with Bernstein functions of the Laplacian ⋮ Blowing-up solutions of differential equations with shifts: a survey ⋮ Blowup solutions for stochastic parabolic equations ⋮ Blow-up of solutions for semilinear stochastic delayed reaction-diffusion equations with Lévy noise ⋮ Positive and unbounded solution of stochastic delayed evolution equations

Cites Work

• Explosive solutions of stochastic reaction-diffusion equations in mean \(L^p\)-norm
• Nonlinear stochastic wave equations: blow-up of second moments in \(L^{2}\)-norm
• Carathéodory approximate solutions for a class of semilinear stochastic evolution equations with time delays
• Blowup for the heat equation with a noise term
• Existence, uniqueness, and asymptotic behavior of mild solutions to stochastic functional differential equations in Hilbert spaces
• Theory and applications of partial functional differential equations
• Stochastic wave equations with polynomial nonlinearity
• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• Stochastic functional partial differential equations: existence, uniqueness and asymptotic decay property
• Stochastic Equations in Infinite Dimensions
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