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21.—Runge's Theorem for Parabolic Equations in Two Space Variables*†
Published online by Cambridge University Press: 14 February 2012
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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