Stochastic porous media equations in \(\mathbb R^d\)
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Publication:1756299
DOI10.1016/j.matpur.2014.10.004zbMath1405.76047arXiv1312.6234OpenAlexW1987043428MaRDI QIDQ1756299
Francesco Russo, Viorel Barbu, Michael Roeckner
Publication date: 14 January 2019
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1312.6234
Nonlinear parabolic equations (35K55) Flows in porous media; filtration; seepage (76S05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Singular parabolic equations (35K67)
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Cites Work
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- Probabilistic and deterministic algorithms for space multidimensional irregular porous media equation
- Probabilistic representation for solutions of an irregular porous media type equation: The degenerate case
- Finite time extinction of solutions to fast diffusion equations driven by linear multiplicative noise
- On a random scaled porous media equation
- Stochastic porous media equations and self-organized criticality
- Non-monotone stochastic generalized porous media equations
- Itô's formula for the \(L _{p }\)-norm of stochastic \({W^{1}_{p}}\)-valued processes
- Existence of strong solutions for stochastic porous media equation under general monotonicity conditions
- Functional analysis, Sobolev spaces and partial differential equations
- Uniqueness of solutions of the initial-value problem for \(u_t- \Delta\varphi (u)=0\)
- The two phase stochastic Stefan problem
- Probabilistic representation for solutions of an irregular porous media type equation
- A concise course on stochastic partial differential equations
- Stochastic generalized porous media and fast diffusion equations
- Stochastic porous media equations and self-organized criticality: Convergence to the critical state in all dimensions
- A probabilistic algorithm approximating solutions of a singular PDE of porous media type
- Existence and uniqueness of nonnegative solutions to the stochastic porous media equation
- Nonlinear Differential Equations of Monotone Types in Banach Spaces
- Stochastic Equations in Infinite Dimensions
