Dispersive Mixed-order Systems in L-sobolev Spaces and Application to the Thermoelastic Plate Equation
نویسندگان
چکیده
We study dispersive mixed-order systems of pseudodifferential operators in the setting of Lp-Sobolev spaces. Under the weak condition of quasihyperbolicity, these operators generate a semigroup in the space of tempered distributions. However, if the basic space is a tuple of Lp-Sobolev spaces, a strongly continuous semigroup is in many cases only generated if p = 2 or n = 1. The results are applied to the linear thermoelastic plate equation inertial term and with Fourier’s or Maxwell-Cattaneo’s law of heat conduction.
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