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arXiv:math/0406202 [math.AP]AbstractReferencesReviewsResources

Fundamental Solutions and Mapping Properties of Semielliptic Operators

G. N. Hile

Published 2004-06-09Version 1

An explicit formula is given for a fundamental solution for a class of semielliptic operators. The fundamental solution is used to investigate properties of these operators as mappings between weighted function spaces. Necessary and sufficient conditions are given for such a mapping to be an isomorphism. Results apply, for example, to elliptic, parabolic, and generalized p-parabolic operators.

Comments: 35 pages
Categories: math.AP
Subjects: 35H30, 35E05, 35E20, 35G05
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