Global solutions for the stochastic reaction-diffusion equation with super-linear multiplicative noise and strong dissipativity
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Publication:2076646
DOI10.1214/22-EJP740MaRDI QIDQ2076646
Publication date: 22 February 2022
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.04459
Reaction-diffusion equations (35K57) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)
Related Items (3)
Global solutions to the stochastic reaction-diffusion equation with superlinear accretive reaction term and superlinear multiplicative noise term on a bounded spatial domain ⋮ Reaction-diffusion equations with transport noise and critical superlinear diffusion: local well-posedness and positivity ⋮ \(L_p\)-regularity theory for the stochastic reaction-diffusion equation with super-linear multiplicative noise and strong dissipativity
Cites Work
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- Pathwise uniqueness for stochastic reaction-diffusion equations in Banach spaces with an Hölder drift component
- Hitchhiker's guide to the fractional Sobolev spaces
- Stochastic partial differential equations: an introduction
- Explosive solutions of stochastic reaction-diffusion equations in mean \(L^p\)-norm
- Long time existence for the heat equation with a noise term
- An infinite dimensional stochastic differential equation with state space C(\({\mathbb{R}})\)
- Large deviations for a reaction-diffusion equation with non-Gaussian perturbations
- Extending martingale measure stochastic integral with applications to spatially homogeneous S. P. D. E's
- Blowup for the heat equation with a noise term
- Long-time existence for signed solutions of the heat equation with a noise term
- Stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term
- Nonlinear stochastic wave and heat equations
- Existence and blow-up of solutions to the fractional stochastic heat equations
- Singular dissipative stochastic equations in Hilbert spaces
- The critical parameter for the heat equation with a noise term to blow up in finite time.
- Ornstein-Uhlenbeck processes with singular drifts: integral estimates and Girsanov densities
- A Khasminskii type averaging principle for stochastic reaction-diffusion equations
- Some non-existence results for a class of stochastic partial differential equations
- ON UNIQUENESS OF MILD SOLUTIONS FOR DISSIPATIVE STOCHASTIC EVOLUTION EQUATIONS
- Averaging Principle for Systems of Reaction-Diffusion Equations with Polynomial Nonlinearities Perturbed by Multiplicative Noise
- Existence, uniqueness and smoothnessfor a class of function valued stochastic partial differential equations
- Stochastic evolution equations in
- On Well-Posedness of Semilinear Stochastic Evolution Equations on $L_p$ Spaces
- Stochastic Equations in Infinite Dimensions
- Second order PDE's in finite and infinite dimension
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