We consider the singular limit of the semilinear strongly damped wave equation with memory in the presence of a critical nonlinearity, as the memory kernel converges to the Dirac mass at zero. We prove the existence of a robust family of regular exponential attractors in the weak energy space. © 2009 Pleiades Publishing, Ltd.
Robust exponential attractors for the strongly damped wave equation with memory. II / Di Plinio, F.; Pata, V.. - In: RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 1061-9208. - 16:1(2009), pp. 61-73. [10.1134/S1061920809010038]
Robust exponential attractors for the strongly damped wave equation with memory. II
Di Plinio F.;
2009
Abstract
We consider the singular limit of the semilinear strongly damped wave equation with memory in the presence of a critical nonlinearity, as the memory kernel converges to the Dirac mass at zero. We prove the existence of a robust family of regular exponential attractors in the weak energy space. © 2009 Pleiades Publishing, Ltd.File in questo prodotto:
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