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http://dx.doi.org/10.4134/BKMS.b150567

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

Choi, Jongkeun (Department of Mathematical Sciences Seoul National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.53, no.4, 2016 , pp. 1123-1148 More about this Journal
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; $H{\ddot{o}}lder$ estimate; Dirichlet boundary condition; Neumann boundary condition; measurable coefficients;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
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