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MAXIMAL REGULARITY AND GLOBAL EXISTENCE OF SOLUTIONS TO A QUASILINEAR THERMOELASTIC PLATE SYSTEM

机译:拟线性热弹性板系统解的最大规则性和整体存在性

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摘要

We consider a quasilinear PDE system which models nonlinear vibrations of a thermoelastic plate defined on a bounded domain in R~n. Global Well-posedness of solutions is shown by applying the theory of maximal parabolic regularity of type L_p. In addition, we prove exponential decay rates for strong solutions and their derivatives.
机译:我们考虑一个准线性PDE系统,该系统对在Rn中的有界区域上定义的热弹性板的非线性振动进行建模。通过应用L_p类型的最大抛物线正则性理论来显示解的整体适定性。此外,我们证明了强解及其导数的指数衰减率。

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