Bull. Korean Math. Soc. 2016; 53(4): 1123-1148
Printed July 31, 2016
https://doi.org/10.4134/BKMS.b150567
Copyright © The Korean Mathematical Society.
Jongkeun Choi
Seoul National University
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\"older estimate, Dirichlet boundary condition, Neumann boundary condition, measurable coefficients
MSC numbers: Primary 35K10, 35D30
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