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Weighted Sobolev Regularity of Viscosity Solutions for Fully Nonlinear Parabolic Equations

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영남수학회 (Youngnam Mathematical Society)|2022.01|East Asian Mathematical Journal|제38권 제1호|pp. 129-141

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참고문헌

키워드

regularityMuckenhoupt weightFully nonlinear parabolic equationviscosity solutionweighted Orlicz space
주제분류수학

초록

We obtain interior regularity estimates in the weighted Orlicz spaces for viscosity solutions of fully nonlinear uniformly parabolic equations$$u_t- F(D^{2}u, x,t) = f(x,t)\ \textrm{ in } Q_1$$under relaxed structure conditions on the nonlinear operator $F$.

Abstract

We obtain interior regularity estimates in the weighted Orlicz spaces for viscosity solutions of fully nonlinear uniformly parabolic equations$$u_t- F(D^{2}u, x,t) = f(x,t)\ \textrm{ in } Q_1$$under relaxed structure conditions on the nonlinear operator $F$.

참고문헌 (21)

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