A transmission problem for thermoelastic plates

Authors:
Jaime E. Muñoz Rivera and Higidio Portillo Oquendo

Journal:
Quart. Appl. Math. **62** (2004), 273-293

MSC:
Primary 74F05; Secondary 35B35, 35B40, 35Q72, 74H40, 74K20

DOI:
https://doi.org/10.1090/qam/2054600

MathSciNet review:
MR2054600

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Abstract: In this paper we study a transmission problem for thermoelastic plates. We prove that the problem is well-posed in the sense that there exists only one solution which is as regular as the initial data. Moreover, we prove that the local thermal effect is strong enough to produce uniform rate of decay of the solution. More precisely, there exist positive constants and such that the total energy satisfies

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Additional Information

DOI:
https://doi.org/10.1090/qam/2054600

Article copyright:
© Copyright 2004
American Mathematical Society