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GLOBAL EXISTENCE AND ASYMPTOTIC STABILITY FOR THE NONLINEAR AND GENERALIZED DAMPED EXTENSIBLE PLATE EQUATION

✍ Scribed by CAVALCANTI, M. M.; DOMINGOS CAVALCANTI, V. N.; SORIANO, J. A.


Book ID
124088590
Publisher
World Scientific Publishing Company
Year
2004
Tongue
English
Weight
318 KB
Volume
06
Category
Article
ISSN
0219-1997

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We prove the existence and uniqueness of global solutions for the Cauchy problem concerning the evolution equation suggested by the study of plates and beams, where A is a linear operator in a Hilbert space H and M and g are real functions. We also study the asymptotic behaviour of the solutions, u