A Markov process associated with a porous medium equation

DOI10.3792/pjaa.60.157zbMath0549.60056OpenAlexW2003514806MaRDI QIDQ800041

Masaaki Inoue

Publication date: 1984

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.60.157

zbMATH Keywords

weak solutionporous medium equation

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items

Random flights connecting porous medium and Euler–Poisson–Darboux equations ⋮ Alternative probabilistic representations of Barenblatt-type solutions ⋮ Stochastic models associated to a nonlocal porous medium equation

Cites Work

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• Source-type solutions for equations of nonstationary filtration
• A CLASS OF MARKOV PROCESSES ASSOCIATED WITH NONLINEAR PARABOLIC EQUATIONS
• Regularity Propeties of Flows Through Porous Media
• DIFFUSION FROM AN INSTANTANEOUS POINT SOURCE WITH A CONCENTRATION-DEPENDENT COEFFICIENT