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ESTIMATES OF GREEN’S FUNCTION FOR SECOND-ORDER PARABOLIC EQUATIONS NEAR EDGES

Part of:Partial differential equationsParabolic equations and systems

Published online by Cambridge University Press:  17 April 2015

V. A. Kozlov and
J. Rossmann
V. A. Kozlov
Affiliation:
University of Linköping, Institute of Mathematics, S-58183 Linköping, Sweden email vladimir.kozlov@liu.se
J. Rossmann
Affiliation:
University of Rostock, Institute of Mathematics, D-18051 Rostock, Germany email juergen.rossmann@uni-rostock.de

Abstract

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We consider the first boundary value problem for a second-order parabolic equation with variable coefficients in the domain $K\times \mathbb{R}^{n-m}$, where $K$ is an $m$-dimensional cone. The main results of the paper are pointwise estimates of the Green’s function.

MSC classification

Primary:35K20: Initial-boundary value problems for second-order parabolic equations
Secondary:35B40: Asymptotic behavior of solutions

Information

Type
Research Article
Information
Mathematika , Volume 61 , Issue 2 , May 2015, pp. 345 - 369
Copyright
Copyright © University College London 2015 

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