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21.—Runge's Theorem for Parabolic Equations in Two Space Variables*†

Published online by Cambridge University Press:  14 February 2012

David Colton
David Colton
Affiliation:
Department of Mathematics, University of Strathclyde, and Fachbereich Mathematik, Universität Konstanz.
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Synopsis

Let u be a real valued strong solution defined in a cylindrical domain of a linear second-order parabolic equation in two space variables with entire coefficients. Then it is shown that on compact subsets of its domain of definition u can be approximated arbitrarily closely in the maximum norm by an entire solution of the parabolic equation.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 73 , 1975 , pp. 307 - 315
Copyright
Copyright © Royal Society of Edinburgh 1975

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