Existence and Exponential Decay for a Kirchhoff–Carrier Model with Viscosity

In this work we study the existence of global solutions and exponential decay for the following nonlinear problem:[formula]whereMis aC1function,M(λ)≥λ0>0; ∀λ≥0.

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Bibliographic Details
Published in:	Journal of mathematical analysis and applications Vol. 226; no. 1; pp. 40 - 60
Main Authors:	Cavalcanti, M.M, Domingos Cavalcanti, V.N, Prates Filho, J.S, Soriano, J.A
Format:	Journal Article
Language:	English
Published:	San Diego, CA Elsevier Inc 01-10-1998 Elsevier
Subjects:	Exact sciences and technology exponential decay Finite differences and functional equations Galerkin method Kirchhoff–Carrier Mathematical analysis Mathematics Ordinary differential equations Partial differential equations Sciences and techniques of general use viscosity viscosity Galerkin method exponential decay Kirchhoff–Carrier Non linear equation Nonlinear problems Existence of solution Global solution Viscosity solution Solution decay
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Description
Summary:	In this work we study the existence of global solutions and exponential decay for the following nonlinear problem:[formula]whereMis aC1function,M(λ)≥λ0>0; ∀λ≥0.
ISSN:	0022-247X 1096-0813
DOI:	10.1006/jmaa.1998.6057