NOTE ON LOCAL ESTIMATES FOR WEAK SOLUTION OF BOUNDARY VALUE PROBLEM FOR SECOND ORDER PARABOLIC EQUATION

Title & Authors
NOTE ON LOCAL ESTIMATES FOR WEAK SOLUTION OF BOUNDARY VALUE PROBLEM FOR SECOND ORDER PARABOLIC EQUATION
Choi, Jongkeun;

Abstract
The aim of this note is to provide detailed proofs for local estimates near the boundary for weak solutions of second order parabolic equations in divergence form with time-dependent measurable coefficients subject to Neumann boundary condition. The corresponding parabolic equations with Dirichlet boundary condition are also considered.
Keywords
De Giorgi estimate;boundedness estimate;$\small{H{\ddot{o}}lder}$ estimate;Dirichlet boundary condition;Neumann boundary condition;measurable coefficients;
Language
English
Cited by
References
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