On Time-Periodic Solutions to Parabolic Boundary Value Problems of Agmon-Douglis-Nirenberg Type
Analysis of PDEs
2017-10-19 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1705.07230,
title = {On Time-Periodic Solutions to Parabolic Boundary Value Problems of Agmon-Douglis-Nirenberg Type},
author = {Mads Kyed and Jonas Sauer},
journal= {arXiv preprint arXiv:1705.07230},
year = {2017}
}