Global attractor of the Cauchy problem for a semilinear degenerate damped hyperbolic equation involving the Grushin operator

Duong Trong Luyen; Nguyen Minh Tri

Annales Polonici Mathematici (2016)

  • Volume: 117, Issue: 2, page 141-161
  • ISSN: 0066-2216

Abstract

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The aim of this paper is to prove the existence of the global attractor of the Cauchy problem for a semilinear degenerate damped hyperbolic equation involving the Grushin operator with a locally Lipschitz nonlinearity satisfying a subcritical growth condition.

How to cite

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Duong Trong Luyen, and Nguyen Minh Tri. "Global attractor of the Cauchy problem for a semilinear degenerate damped hyperbolic equation involving the Grushin operator." Annales Polonici Mathematici 117.2 (2016): 141-161. <http://eudml.org/doc/286166>.

@article{DuongTrongLuyen2016,
abstract = {The aim of this paper is to prove the existence of the global attractor of the Cauchy problem for a semilinear degenerate damped hyperbolic equation involving the Grushin operator with a locally Lipschitz nonlinearity satisfying a subcritical growth condition.},
author = {Duong Trong Luyen, Nguyen Minh Tri},
journal = {Annales Polonici Mathematici},
keywords = {global solution; global attractor; semilinear degenerate damped hyperbolic equation; unbounded domains; tail-estimates method},
language = {eng},
number = {2},
pages = {141-161},
title = {Global attractor of the Cauchy problem for a semilinear degenerate damped hyperbolic equation involving the Grushin operator},
url = {http://eudml.org/doc/286166},
volume = {117},
year = {2016},
}

TY - JOUR
AU - Duong Trong Luyen
AU - Nguyen Minh Tri
TI - Global attractor of the Cauchy problem for a semilinear degenerate damped hyperbolic equation involving the Grushin operator
JO - Annales Polonici Mathematici
PY - 2016
VL - 117
IS - 2
SP - 141
EP - 161
AB - The aim of this paper is to prove the existence of the global attractor of the Cauchy problem for a semilinear degenerate damped hyperbolic equation involving the Grushin operator with a locally Lipschitz nonlinearity satisfying a subcritical growth condition.
LA - eng
KW - global solution; global attractor; semilinear degenerate damped hyperbolic equation; unbounded domains; tail-estimates method
UR - http://eudml.org/doc/286166
ER -

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