On time-periodic solutions to parabolic boundary value problems

Mads Kyed, Jonas Sauer*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)37-65
Number of pages29
JournalMathematische Annalen
Issue number1-2
Publication statusPublished - 2019 Jun 1
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics


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