TY - JOUR
T1 - Generation of semigroups for the thermoelastic plate equation with free boundary conditions
AU - Denk, Robert
AU - Shibata, Yoshihiro
N1 - Publisher Copyright:
© 2019, American Institute of Mathematical Sciences. All rights reserved.
PY - 2019/6
Y1 - 2019/6
N2 - We consider the linear thermoelastic plate equations with free boundary conditions in uniform C4-domains, which includes the half-space, bounded and exterior domains. We show that the corresponding operator generates an analytic semigroup in Lp-spaces for all p∈(1,∞) and has maximal Lq-Lp-regularity on finite time intervals. On bounded C4 -domains, we obtain exponential stability.
AB - We consider the linear thermoelastic plate equations with free boundary conditions in uniform C4-domains, which includes the half-space, bounded and exterior domains. We show that the corresponding operator generates an analytic semigroup in Lp-spaces for all p∈(1,∞) and has maximal Lq-Lp-regularity on finite time intervals. On bounded C4 -domains, we obtain exponential stability.
KW - Generation of analytic semigroups
KW - Operator-valued fourier multipliers
KW - Thermoelastic plate equations
UR - http://www.scopus.com/inward/record.url?scp=85068390707&partnerID=8YFLogxK
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U2 - 10.3934/eect.2019016
DO - 10.3934/eect.2019016
M3 - Article
AN - SCOPUS:85068390707
SN - 2163-2472
VL - 8
SP - 301
EP - 313
JO - Evolution Equations and Control Theory
JF - Evolution Equations and Control Theory
IS - 2
ER -