Global solutions to stochastic reaction-diffusion equations with super-linear drift and multiplicative noise

DOI10.1214/18-AOP1270zbMath1418.60072arXiv1701.04660OpenAlexW2904009376WikidataQ128749408 ScholiaQ128749408MaRDI QIDQ1731894

Davar Khoshnevisan, Robert C. Dalang, Tu-Sheng Zhang

Publication date: 14 March 2019

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.04660

zbMATH Keywords

stochastic partial differential equationslogarithmic Sobolev inequalityblow-upreaction-diffusion equations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Critical exponents in context of PDEs (35B33) A priori estimates in context of PDEs (35B45) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (16)

Statistical null-controllability of stochastic nonlinear parabolic equations ⋮ Existence and uniqueness of global solutions to the stochastic heat equation with superlinear drift on an unbounded spatial domain ⋮ Global solutions to the stochastic reaction-diffusion equation with superlinear accretive reaction term and superlinear multiplicative noise term on a bounded spatial domain ⋮ The effect of noise intensity on parabolic equations ⋮ Non-existence results for stochastic wave equations in one dimension ⋮ SPDEs with space interactions and application to population modelling ⋮ Reaction-diffusion equations with transport noise and critical superlinear diffusion: local well-posedness and positivity ⋮ Superlinear stochastic heat equation on ℝ^{𝕕} ⋮ Global well-posedness to stochastic reaction-diffusion equations on the real line \(\mathbb{R}\) with superlinear drifts driven by multiplicative space-time white noise ⋮ \(L_p\)-regularity theory for the stochastic reaction-diffusion equation with super-linear multiplicative noise and strong dissipativity ⋮ Implicit-explicit finite difference approximations of a semilinear heat equation with logarithmic nonlinearity ⋮ The Osgood condition for stochastic partial differential equations ⋮ Talagrand concentration inequalities for stochastic heat-type equations under uniform distance ⋮ Global solutions to stochastic wave equations with superlinear coefficients ⋮ Existence and uniqueness for the mild solution of the stochastic heat equation with non-Lipschitz drift on an unbounded spatial domain ⋮ Stochastic heat equations with logarithmic nonlinearity

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