ALPHA-CONTRACTIONS AND ATTRACTORS FOR DISSIPATIVE SEMILINEAR HYPERBOLIC-EQUATIONS AND SYSTEMS

Ceron, S. S.; Lopes, O.

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/36462

Title:

ALPHA-CONTRACTIONS AND ATTRACTORS FOR DISSIPATIVE SEMILINEAR HYPERBOLIC-EQUATIONS AND SYSTEMS

Author(s):

Institution:

Universidade Estadual Paulista (UNESP)
Universidade Estadual de Campinas (UNICAMP)

ISSN:

0003-4622

Abstract:

In this paper we discuss the existence of compact attractor for the abstract semilinear evolution equation u = Au + f (t, u); the results are applied to damped partial differential equations of hyperbolic type. Our approach is a combination of Liapunov method with the theory of alpha-contractions.

Issue Date:

1-Jan-1991

Citation:

Annali Di Matematica Pura Ed Applicata. Florence: Ist Mat, v. 160, p. 193-206, 1991.

Time Duration:

193-206

Publisher:

Ist Mat

Source:

http://dx.doi.org/10.1007/BF01764127

URI:

Access Rights:

Acesso restrito

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/36462

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