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Volume 12, Issue 1
Approximate Inertial Manifolds of Strongly Damped Nonlinear Wave Equations

Zhengde Dai & Boling Guo

J. Part. Diff. Eq., 12 (1999), pp. 55-62.

Published online: 1999-12

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  • 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.
  • Keywords

Approximate inertial manifolds strong damping nonlinear wave equation

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@Article{JPDE-12-55, author = {Zhengde Dai and Boling Guo }, title = {Approximate Inertial Manifolds of Strongly Damped Nonlinear Wave Equations}, journal = {Journal of Partial Differential Equations}, year = {1999}, volume = {12}, number = {1}, pages = {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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5524.html} }
TY - JOUR T1 - Approximate Inertial Manifolds of Strongly Damped Nonlinear Wave Equations AU - Zhengde Dai & Boling Guo JO - Journal of Partial Differential Equations VL - 1 SP - 55 EP - 62 PY - 1999 DA - 1999/12 SN - 12 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5524.html KW - Approximate inertial manifolds KW - strong damping KW - nonlinear wave equation AB - 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.
Zhengde Dai and Boling Guo . (1999). Approximate Inertial Manifolds of Strongly Damped Nonlinear Wave Equations. Journal of Partial Differential Equations. 12 (1). 55-62. doi:
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