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20192026
most citedBoundary behavior and interior Hölder regularity of solution to nonlinear stochastic partial differential equations driven by space-time white noise

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math.PR2026

Instantaneous shrinking of supports for stochastic PDEs

Beom-Seok Han, Kunwoo Kim, Jaeyun Yi

We study instantaneous shrinking of supports for nonnegative solutions of the stochastic partial differential equation \[ \partial_t u=a(t,x)\,\partial_x^2 u + b(t,x)\,\partial_x u…