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Second order elliptic boundary value problems in spaces with homogeneous norms

Part of: Elliptic equations and systems

Published online by Cambridge University Press:  09 April 2009

A. J. Pryde
A. J. Pryde
Affiliation:
School of Mathematics and Physics Macquarie UniversityNorth Ryde, N.S.W. 2113, Australia
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Abstract

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We consider the interior and Dirichiet problems and problems with first order boundary conditions, for a second order homogeneous elliptic partial differential operator with constant coefficients. Under natural conditions on the operators, these problems give rise to isomorphisms between the appropriate spaces with homogeneous norms. From there we obtain a priori estimates and regularity results for boundary value problems in Sobolev spaces.

MSC classification

Secondary: 35J25: Boundary value problems for second-order elliptic equations
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 29 , Issue 1 , February 1980 , pp. 1 - 13
Copyright
Copyright © Australian Mathematical Society 1980

References

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