Work

Stochastic Porous Media Equations With Nonhomogeneous Dirichlet Boundary Conditions

Year: 2026

Type: preprint

Abstract: We aim at studying the well-posedness of stochastic porous media equation problems under nonhomogeneous Dirichlet boundary. We obtain an unconventional homogeneous Dirichlet boundary stochastic porous medium equation by transformation under an additional assumption, and then use approximation problems to obtain the well-posedness properties of the equation with homogeneous Dirichlet boundary conditions under different initial conditions. Consequently, we obtain the corresponding solution to the original equation.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.11273

Authors: Goreac, Dan, Ciotir, Ioana, Li, Juan, Peng, Yufan

Institutions: Shandong University, Université Laval, Centre National de la Recherche Scientifique, Laboratoire de Mathématiques de l'INSA de Rouen, Institut National des Sciences Appliquées Rouen Normandie

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Natural Sciences and Engineering Research Council of Canada

Awards: G2438582856, G4610069166

OpenAlex ID: W7221073178

Cites: 1

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Related to: 10