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Global classical solution for one-dimensional nonlinear thermoelastiticity with second sound on the semi-axis

Global classical solution for one-dimensional nonlinear thermoelastiticity with second sound on the semi-axis

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HU, Yuxi, 2011. Global classical solution for one-dimensional nonlinear thermoelastiticity with second sound on the semi-axis

@techreport{Hu2011Globa-14066, series={Konstanzer Schriften in Mathematik}, title={Global classical solution for one-dimensional nonlinear thermoelastiticity with second sound on the semi-axis}, year={2011}, number={280}, author={Hu, Yuxi} }

Global classical solution for one-dimensional nonlinear thermoelastiticity with second sound on the semi-axis 2011 In this paper, we will give a global existence theorem in one-dimensional thermoelasticity with second sound in ℝ<sup>+</sup>. For this purpose, we first give the decay rates of the linearized equations with the help of of the Fourier sine and cosine transformation and the local existence theorem using theorems for quasi-linear symmetric hyeperbolic sytems. Then we establish some estimates in L<sup>2</sup>, L<sup>1</sup> and L<sup>∞</sup> norms to get a uniform a apriori estimate. Finally, we use the usual continuation argument to get a global solution. 2011-07-14T10:09:16Z eng deposit-license Hu, Yuxi 2011-07-14T10:09:16Z Hu, Yuxi

Dateiabrufe seit 01.10.2014 (Informationen über die Zugriffsstatistik)

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