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Cauchy problems for linear thermoelastic systems of type III in one space variable

✍ Scribed by Michael Reissig; Ya-Guang Wang

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
193 KB
Volume
28
Category
Article
ISSN
0170-4214

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✦ Synopsis

The goal of the paper is to analyse properties of solutions for linear thermoelastic systems of type III in one space variable. Our approach does not use energy methods, it bases on a special diagonalization procedure which is di erent in di erent parts of the phase space. This procedure allows to derive explicit representations of solutions. These representations help to prove results for well-posedness of the Cauchy problem, L p -L q decay estimates on the conjugate line and results for propagation of singularities. Copyright ? 2005 John Wiley & Sons, Ltd.

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