On existence and uniqueness of the solution for stochastic partial differential equations
DOI10.1090/tpms/1144zbMath1473.60092arXiv2104.07340OpenAlexW3201716802WikidataQ115280726 ScholiaQ115280726MaRDI QIDQ5153149
Benny Avelin, Lauri Viitasaari
Publication date: 29 September 2021
Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.07340
stochastic partial differential equationsmild solutionexistence and uniquenesssemilinear parabolic equationshypoelliptic equations
Gaussian processes (60G15) Integral representations of solutions to PDEs (35C15) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Initial value problems for PDEs with pseudodifferential operators (35S10) Semilinear parabolic equations (35K58)
Cites Work
- Extension properties and boundary estimates for a fractional heat operator
- Decay and local eventual positivity for biharmonic parabolic equations
- Extending martingale measure stochastic integral with applications to spatially homogeneous S. P. D. E's
- Quantitative normal approximations for the stochastic fractional heat equation
- Positivity of solutions to the Cauchy problem for linear and semilinear biharmonic heat equations
- Harnack estimates for degenerate parabolic equations modeled on the subelliptic \(p\)-Laplacian
- An invariant Harnack inequality for a class of hypoelliptic ultraparabolic equations
- Stratified Lie Groups and Potential Theory for their Sub-Laplacians
- Hypocoercivity
- Bounds for the fundamental solutions of elliptic and parabolic equations
- The Mathematical Theories of Diffusion: Nonlinear and Fractional Diffusion
- On the stochastic heat equation with spatially-colored random forcing
- Bounds for the fundamental solution of a parabolic equation
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On existence and uniqueness of the solution for stochastic partial differential equations
