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ON THE ATTRACTOR FOR A SEMILINEAR WAVE EQUATION WITH CRITICAL EXPONENT AND NONLINEAR BOUNDARY DISSIPATION

Chueshov, Igor ; Eller, Matthias ; Lasiecka, Irena

Communications in partial differential equations, 2002-01, Vol.27 (9-10), p.1901-1951 [Periódico revisado por pares]

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Título:
ON THE ATTRACTOR FOR A SEMILINEAR WAVE EQUATION WITH CRITICAL EXPONENT AND NONLINEAR BOUNDARY DISSIPATION
Autor: Chueshov, Igor ; Eller, Matthias ; Lasiecka, Irena
É parte de: Communications in partial differential equations, 2002-01, Vol.27 (9-10), p.1901-1951
Descrição: Long time behavior of a semilinear wave equation with nonlinear boundary dissipation and critical exponent is considered. It is shown that weak solutions generated by the wave dynamics converge asymptotically to a global and compact attractor. In addition, regularity and structure of the attractor are discussed in the paper. While this type of results are known for wave dynamics with interior dissipation this is, to our best knowledge, first result pertaining to boundary and nonlinear dissipation in the context of global attractors and their properties.
Editor: Taylor & Francis Group
Idioma: Inglês

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