Existence and boundary stabilization of solutions for the kirchhoff equation: Existence and boundary stabilization

This paper is concerned with the existence of local and global solutions of an initial-homogeneous boundary value problem for the Kirchhoff equation where is an open bounded set of R n The boundary stability is also obtained. The fixed point method, Galerkinapproximations and energy functionals are...

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Bibliographic Details
Published in:Communications in partial differential equations 1999-01, Vol.24 (9-10), p.1759-1800
Main Authors: Milla Miranda, M, San Gil Jutuca, L.P
Format: Article
Language:English
Subjects:
boundary stability
Galerkin method
Kirchhoff equation
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Summary:This paper is concerned with the existence of local and global solutions of an initial-homogeneous boundary value problem for the Kirchhoff equation where is an open bounded set of R n The boundary stability is also obtained. The fixed point method, Galerkinapproximations and energy functionals are used in the approach.
ISSN:0360-5302
1532-4133
DOI:10.1080/03605309908821482