Stabilization by noise for a class of stochastic reaction-diffusion equations

DOI10.1007/s00440-004-0421-4zbMath1077.60046OpenAlexW2156929677MaRDI QIDQ2571011

Sandra Cerrai

Publication date: 2 November 2005

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00440-004-0421-4

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

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Stabilization of a class of semilinear degenerate parabolic equations by Itô noise ⋮ A basic identity for Kolmogorov operators in the space of continuous functions related to RDEs with multiplicative noise ⋮ Pathwise stability of degenerate stochastic evolutions ⋮ Reaction-diffusion equations with transport noise and critical superlinear diffusion: local well-posedness and positivity ⋮ Phase analysis for a family of stochastic reaction-diffusion equations ⋮ Invariant measures for monotone SPDEs with multiplicative noise term ⋮ Noise-Induced Stabilization of Perturbed Hamiltonian Systems ⋮ Travelling waves for reaction-diffusion equations forced by translation invariant noise ⋮ Improved stability for linear SPDEs using mixed boundary/internal controls ⋮ The internal stabilization by noise of the linearized Navier-Stokes equation

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