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A stochastic Schauder-Tychonoff type theorem and its applications

Year: 2026
Type: article
Abstract: One standard way to prove existence for deterministic, highly nonlinear PDEs is to use the Schauder-Tychonoff fixed-point theorem. In what follows, we introduce and verify a stochastic variant of the Schauder-Tychonoff theorem. We apply our existence result to nonlinear stochastic diffusion equations with non-Lipschitz perturbations.
DOI: 10.1007/s13324-026-01262-y
Language: English
Open Access status: hybrid
Estimated APC paid: $3,290
Funders: European Commission, Austrian Science Fund, HORIZON EUROPE Framework Programme, European Education and Culture Executive Agency, Education, Audiovisual and Culture Executive Agency, H2020 Marie Skłodowska-Curie Actions, HORIZON EUROPE Marie Sklodowska-Curie Actions
Awards: The Maxwell Stefan problem with intrinsic randomness, G1793718810, G1919849746, G2992232179, G3494279485, Stochastic Turing Patterns, G6392100203, G8590477180, G9000046552, The Stochastic Keller Segel Model
OpenAlex ID: W7130711574
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