TY - JOUR
T1 - On time-periodic solutions to parabolic boundary value problems
AU - Kyed, Mads
AU - Sauer, Jonas
N1 - Funding Information:
Open access funding provided by Max Planck Society.
PY - 2019/6/1
Y1 - 2019/6/1
N2 - 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.
AB - 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.
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U2 - 10.1007/s00208-018-1721-9
DO - 10.1007/s00208-018-1721-9
M3 - Article
AN - SCOPUS:85049610922
VL - 374
SP - 37
EP - 65
JO - Mathematische Annalen
JF - Mathematische Annalen
SN - 0025-5831
IS - 1-2
ER -