Journal of the
Korean Mathematical Society JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008
qr-code QR
Code

Article

HOME ALL ARTICLES View

J. Korean Math. Soc. 2021; 58(5): 1279-1298

Online first article June 3, 2021      Printed September 1, 2021

https://doi.org/10.4134/JKMS.j200572

Copyright © The Korean Mathematical Society.

Long time behavior of solutions to semilinear hyperbolic equations involving strongly degenerate elliptic differential operators

Duong Trong Luyen, Phung Thi Kim Yen

Ton Duc Thang University; Ha Noi University of Natural Resources and Environment

Abstract

Go to

The aim of this paper is to prove the existence of the global attractor of the Cauchy problem for a semilinear degenerate hyperbolic equation involving strongly degenerate elliptic differential operators. The attractor is characterized as the unstable manifold of the set of stationary points, due to the existence of a Lyapunov functional.

Keywords: Global solution, global attractor, long-time behavior of solutions, semilinear degenerate hyperbolic equation, unbounded domains, gradient systems, tail-estimates method

MSC numbers: Primary 35L80, 35L10, 35L71

Supported by: This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.02-2020.13.

Article Tools

Stats or Metrics

Share this article on :

Related articles in JKMS

more +