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.
- Generation of analytic semigroups
- Operator-valued fourier multipliers
- Thermoelastic plate equations
ASJC Scopus subject areas
- Modelling and Simulation
- Control and Optimization
- Applied Mathematics