Finite time extinction of solutions to fast diffusion equations driven by linear multiplicative noise

DOI10.1016/j.jmaa.2011.11.045zbMath1243.60046OpenAlexW2020869030MaRDI QIDQ663693

Michael Roeckner, Giuseppe Da Prato, Viorel Barbu

Publication date: 27 February 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.11.045

zbMATH Keywords

self-organized criticalityfast diffusionfluid flows in porous medialow diffusionStochastic differential equationsuperfast diffusion

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of stochastic analysis (to PDEs, etc.) (60H30) Diffusion processes (60J60)

Related Items

Singular-Degenerate Multivalued Stochastic Fast Diffusion Equations, Stochastic variational inequalities and applications to the total variation flow perturbed by linear multiplicative noise, Ergodicity for singular-degenerate stochastic porous media equations, Well-posedness of SVI solutions to singular-degenerate stochastic porous media equations arising in self-organized criticality, Stochastic porous media equations in \(\mathbb R^d\), Yosida approximations for multivalued stochastic partial differential equations driven by Lévy noise on a Gelfand triple, Finite time extinction for stochastic sign fast diffusion and self-organized criticality, Asymptotic couplings by reflection and applications for nonlinear monotone SPDEs, Finite time extinction for the 1D stochastic porous medium equation with transport noise

Cites Work

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• Kolmogorov equations for stochastic PDEs.
• Stochastic porous media equations and self-organized criticality
• Non-monotone stochastic generalized porous media equations
• Finite time extinction for solutions to fast diffusion stochastic porous media equations
• Existence of strong solutions for stochastic porous media equation under general monotonicity conditions
• Introduction to the theory of (non-symmetric) Dirichlet forms
• The two phase stochastic Stefan problem
• 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
• Self-organized criticality
• UNIFORM BOUNDS FOR EIGENFUNCTIONS OF THE LAPLACIAN ON MANIFOLDS WITH BOUNDARY*
• Existence and uniqueness of nonnegative solutions to the stochastic porous media equation
• Nonlinear Differential Equations of Monotone Types in Banach Spaces