Existence of Strong Solutions for Stochastic Porous Media Equation under General Monotonicity Conditions

2007/03/14 by Viorel Barbu, Barbu, Viorel, Giuseppe Da Prato +3 · 1 citation
Computer Science · Economics, Econometrics and Finance · Mathematics · #60H15 #76S05 #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Nonlinear Partial Differential Equations #Probability (math.PR) #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.math/0703421

openalex publication_date 2007/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

One proves existence and uniqueness of strong solutions to stochastic porous media equations under minimal monotonicity conditions on the nonlinearity. In particular, we do not assume continuity of the drift or any growth condition at infinity.

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• Stochastic evolution equations with nonlinear diffusivity, recent progress and critical cases

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