Approximate Inertial Manifolds of Strongly Damped Nonlinear Wave Equations

Approximate Inertial Manifolds of Strongly Damped Nonlinear Wave Equations

Year:    1999

Journal of Partial Differential Equations, Vol. 12 (1999), Iss. 1 : pp. 55–62

Abstract

In this paper we consider a class of strongly damped nonlinear wave equations. By the transformation of unknown functions and decomposition of operators, we construct a family of approximate inertial manifolds, and obtain the estimate of orders of approximation of such manifolds to solution orbits.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1999-JPDE-5524

Journal of Partial Differential Equations, Vol. 12 (1999), Iss. 1 : pp. 55–62

Published online:    1999-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Approximate inertial manifolds