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Abstract The goal of this paper is to establish the Lipschitz and estimates for a second-order parabolic PDE on with zero initial data and f satisfying a Ladyzhenskaya–Prodi–Serrin type condition.… Click to show full abstract
Abstract The goal of this paper is to establish the Lipschitz and estimates for a second-order parabolic PDE on with zero initial data and f satisfying a Ladyzhenskaya–Prodi–Serrin type condition. Following the theoretic result, we then give two applications. The first is to discuss the regularity of the stochastic heat equations, and the second is to discuss the Sobolev differentiability of strong solutions to a class of SDEs with singular drift coefficients.
Keywords:
order parabolic;
applications second;
second order;
parabolic pdes;
pdes singular
Journal Title: Stochastic Analysis and Applications
Year Published: 2020
Link to full text (if available)
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Journal Title: Stochastic Analysis and Applications
Year Published: 2020
Link to full text (if available)
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recommendations!