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

Published online by Cambridge University Press:  17 April 2015

V. A. Kozlov
Affiliation:
University of Linköping, Institute of Mathematics, S-58183 Linköping, Sweden email [email protected]
J. Rossmann
Affiliation:
University of Rostock, Institute of Mathematics, D-18051 Rostock, Germany email [email protected]
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Abstract

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.

Type
Research Article
Copyright
Copyright © University College London 2015 

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