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Dispersive mixed-order systems in L<sup>p</sup>-Sobolev spaces and application to the thermoelastic plate equation

Dispersive mixed-order systems in Lp-Sobolev spaces and application to the thermoelastic plate equation

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Prüfsumme: MD5:2b441bd71d9c2c07aad9a23fe7d3959f

DENK, Robert, Felix HUMMEL, 2016. Dispersive mixed-order systems in Lp-Sobolev spaces and application to the thermoelastic plate equation

@techreport{Denk2016-10-31T13:53:25ZDispe-35824, series={Konstanzer Schriften in Mathematik}, title={Dispersive mixed-order systems in Lp-Sobolev spaces and application to the thermoelastic plate equation}, year={2016}, number={354}, author={Denk, Robert and Hummel, Felix} }

We study dispersive mixed-order systems of pseudodifferential operators in the setting of L<sup>p</sup>-Sobolev spaces. Under the weak condition of quasi-hyperbolicity, these operators generate a semigroup in the space of tempered distributions. However, if the basic space is a tuple of L<sup>p</sup>-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. eng Dispersive mixed-order systems in L<sup>p</sup>-Sobolev spaces and application to the thermoelastic plate equation Denk, Robert Hummel, Felix 2016-11-03T13:19:29Z Denk, Robert 2016-11-03T13:19:29Z 2016-10-31T13:53:25Z Hummel, Felix

Dateiabrufe seit 03.11.2016 (Informationen über die Zugriffsstatistik)

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