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arXiv:1705.07230 [math.AP]AbstractReferencesReviewsResources

On Time-Periodic Solutions to Parabolic Boundary Value Problems of Agmon-Douglis-Nirenberg Type

Mads Kyed, Jonas Sauer

Published 2017-05-20Version 1

Time-periodic solutions to partial differential equations of parabolic type corresponding to an operator that is elliptic in the sense of Agmon-Douglis-Nirenberg are investigated. In the whole- and half-space case we construct an explicit formula for the solution and establish coercive Lp estimates. The estimates generalize a famous result of Agmon, Douglis and Nirenberg for elliptic problems to the time-periodic case.

Categories: math.AP
Subjects: 35B10, 35B45, 35K25, 35G15
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