Finite time extinction for solutions to fast diffusion stochastic porous media equations

DOI10.1016/j.crma.2008.11.018zbMath1156.60040arXiv0811.2064OpenAlexW2963725101MaRDI QIDQ1000660

Viorel Barbu, Giuseppe Da Prato, Michael Roeckner

Publication date: 10 February 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.2064

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

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Cites Work

• Stochastic porous media equations and self-organized criticality
• Non-monotone stochastic generalized porous media equations
• Existence of strong solutions for stochastic porous media equation under general monotonicity conditions
• Stability of the separable solution for fast diffusion
• Stochastic generalized porous media and fast diffusion equations
• Existence and uniqueness of nonnegative solutions to the stochastic porous media equation