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Linear second order elliptic equations with Venttsel boundary conditions

Published online by Cambridge University Press:  14 November 2011

Yousong Luo  and
Neil S. Trudinger
Yousong Luo
Affiliation:
Centre for Mathematical Analysis, Australian National University, GPO Box 4, Canberra, ACT 2601, Australia
Neil S. Trudinger
Affiliation:
Centre for Mathematical Analysis, Australian National University, GPO Box 4, Canberra, ACT 2601, Australia
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Synopsis

We prove a Schauder estimate for solutions of linear second order elliptic equations with linear Venttsel boundary conditions, and establish an existence result for classical solutions for such boundary value problems.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 118 , Issue 3-4 , 1991 , pp. 193 - 207
Copyright
Copyright © Royal Society of Edinburgh 1991

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