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
From: Ankit Kumar [view email]
[v1]
Thu, 19 Feb 2026 11:45:09 UTC (416 KB)
[v2]
Thu, 27 Aug 2026 07:48:26 UTC (435 KB)
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