On non-existence of global solutions to a class of stochastic heat equations

DOI10.1090/proc/12036zbMath1322.60110arXiv1208.4496OpenAlexW1967892905MaRDI QIDQ5264187

Mohammud Foondun, Rana D. Parshad

Publication date: 20 July 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.4496

zbMATH Keywords

Lyapunov exponentsstable processesstochastic heat equationsweak intermittence

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Stable stochastic processes (60G52)

Related Items (6)

Some non-existence results for a class of stochastic partial differential equations ⋮ Finite time blowup in \(L^2\) sense of solutions to SPDEs with Bernstein functions of the Laplacian ⋮ Blowup solutions for stochastic parabolic equations ⋮ Blow-up solutions of the stochastic nonlocal heat equations ⋮ Space-time fractional stochastic partial differential equations ⋮ Blow-up results for space-time fractional stochastic partial differential equations

Cites Work

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• Correlation-length bounds, and estimates for intermittent islands in parabolic SPDEs
• Intermittence and nonlinear parabolic stochastic partial differential equations
• On nonexistence of global solutions for some nonlinear integral equations
• Extending martingale measure stochastic integral with applications to spatially homogeneous S. P. D. E's
• Blowup for the heat equation with a noise term
• The critical parameter for the heat equation with a noise term to blow up in finite time.
• The role of critical exponents in blow-up theorems: The sequel
• The Role of Critical Exponents in Blowup Theorems
• On the support of solutions to the heat equation with noise
• Parabolic Anderson problem and intermittency
• On the stochastic heat equation with spatially-colored random forcing

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