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• W2912376572 abstract "We study stochastic heat equations in the sense of Walsh defined by fractal Laplacians on Cantor-like sets. For this purpose, we first investigate the corresponding heat kernels. Then, we prove existence and uniqueness of mild solutions to stochastic heat equations provided some Lipschitz and linear growth conditions. We establish Holder continuity in space and time and compute the Holder exponents. Moreover, we address the question of weak intermittency." @default.
• W2912376572 created "2019-02-21" @default.
• W2912376572 creator A5058839508 @default.
• W2912376572 date "2019-02-06" @default.
• W2912376572 modified "2023-09-27" @default.
• W2912376572 title "Stochastic Heat Equations defined by Fractal Laplacians on Cantor-like Sets" @default.
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