Home /  Graduate Student Seminar: Hölder regularity for a class of nonlinear stochastic heat equations

Seminar

Graduate Student Seminar: Hölder regularity for a class of nonlinear stochastic heat equations November 12, 2025 (01:00 PM PST - 02:00 PM PST)
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Location: SLMath: Baker Board Room, Online/Virtual
Speaker(s) Sudheesh Surendranath (University of Utah)
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We investigate the Hölder continuity of solutions to a wide class of stochastic heat equations, subject to a suitable initial condition. The equation is driven by the generator of a Lévy process with a noise term that is white in time and colored in space. Under a growth assumption on the characteristic exponent of the Lévy process, we derive sufficient conditions for the solution to be locally Hölder continuous. Moreover, we show that these conditions are equivalent to those derived in related papers by Khoshnevisan-Sanz-Solé (2023) and Sanz-Solé-Sarrá (2000, 20002).

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