Global well-posedness to stochastic reaction-diffusion equations on the real line \(\mathbb{R}\) with superlinear drifts driven by multiplicative space-time white noise

DOI10.1214/23-ejp1057zbMath1530.60053arXiv2106.02879MaRDI QIDQ6136816

Shijie Shang, Tu-Sheng Zhang

Publication date: 17 January 2024

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.02879

zbMATH Keywords

stochastic reaction-diffusion equationsspace-time white noisestochastic convolutionlogarithmic nonlinearitylower order moment estimates

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) White noise theory (60H40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Instability of positive periodic solutions for semilinear pseudo-parabolic equations with logarithmic nonlinearity
• Global solution and blow-up of a semilinear heat equation with logarithmic nonlinearity
• Stochastic partial differential equations: an introduction
• Pathwise uniqueness for stochastic heat equations with Hölder continuous coefficients: The white noise case
• On pathwise uniqueness for stochastic heat equations with non-Lipschitz coefficients
• Gradient estimates for a simple elliptic equation on complete non-compact Riemannian manifolds
• Time-space white noise eliminates global solutions in reaction-diffusion equations
• White noise driven SPDEs with reflection
• Stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term
• Stochastic reaction-diffusion equations driven by jump processes
• Superexponential growth or decay in the heat equation with a logarithmic nonlinearity
• Global solutions to stochastic reaction-diffusion equations with super-linear drift and multiplicative noise
• Three-manifolds with positive Ricci curvature
• Nonlinear stochastic parabolic partial differential equations with a monotone operator of the Ladyzenskaya-Smagorinsky type, driven by a Lévy noise
• Stochastic heat equations with logarithmic nonlinearity
• The Osgood condition for stochastic partial differential equations
• Talagrand concentration inequalities for stochastic heat-type equations under uniform distance
• Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity
• A study of a class of stochastic differential equations with non-Lipschitzian coefficients
• Two Contrasting Properties of Solutions for One-Dimensional Stochastic Partial Differential Equations
• Stochastic Equations in Infinite Dimensions
• Gradient estimates for a nonlinear parabolic equation on Riemannian manifolds

This page was built for publication: Global well-posedness to stochastic reaction-diffusion equations on the real line \(\mathbb{R}\) with superlinear drifts driven by multiplicative space-time white noise