期刊文献+

GLOBAL EXISTENCE FOR THE NONHOMOGENEOUS QUASILINEAR WAVE EQUATION WITH A LOCALIZED WEAKLY NONLINEAR DISSIPATION IN EXTERIOR DOMAINS

GLOBAL EXISTENCE FOR THE NONHOMOGENEOUS QUASILINEAR WAVE EQUATION WITH A LOCALIZED WEAKLY NONLINEAR DISSIPATION IN EXTERIOR DOMAINS
下载PDF
导出
摘要 It is proved that the global existence for the nonhomogeneous quasilinear wave equation with a localized weakly nonlinear dissipation in exterior domains. It is proved that the global existence for the nonhomogeneous quasilinear wave equation with a localized weakly nonlinear dissipation in exterior domains.
作者 Jeong Ja Bae
出处 《Acta Mathematica Scientia》 SCIE CSCD 2009年第5期1203-1215,共13页 数学物理学报(B辑英文版)
关键词 quasilinear wave equation localized weakly nonlinear dissipation exterior domains quasilinear wave equation localized weakly nonlinear dissipation exterior domains
  • 相关文献

参考文献12

  • 1Bae J J, Nakao M. Existence problem for the Kirchhoff type equation with a localized weakly nonlinear dissipation in exterior domains. Discrete Conti Dyn Sys, 2004, 11(2): 731-743. 被引量:1
  • 2Cousin A T, Frota C L, Larkin N A. Global solvability and decay of the energy for the nonhomogeneous Kirchhoff equation. Diff Int Equations, 2002, 15(10): 1219-1236. 被引量:1
  • 3Kirchhoff G. Volesungen uber Mechanik. Teubner, 1883. 被引量:1
  • 4Lions J L. Exact contorollability, stabilization and perturbation for distributed systems. SIAM Rev, 1988, 30(10): 1-68. 被引量:1
  • 5Mochizuki K. Global existence and energy decay of small solutions for the Kirchhoff equation with linear dissipation localized near infinity. Math Ann, 1999, 39:347-364. 被引量:1
  • 6Nakao M. Stabilization of local energy in an exterior domain for the wave equation with a localized dissipation. J Differential Equations, 1998, 148:388-406. 被引量:1
  • 7Nakao M. Global existence of smooth solutions to the initial-boundary value problem for the quasi-linear wave equation with a localized degenerate dissipation. Nonlinear Analysis, T M A, 2000, 39:187-205. 被引量:1
  • 8Nakao M. Energy decay for the linear and semilinear wave equations in exterior domains with some localized dissipation. Math Z, 2001, 238:781-797. 被引量:1
  • 9Nakao M, Bae J J. Existence of global solutions to the Cauchy problem of Kirchhoff type quasilinear wave equation with weakly nonlinear dissipation. Funk Ekvac, 2002, 45(3): 387-395. 被引量:1
  • 10Yamada Y. On some quasilinear wave equation with dissipative terms. Nagoya Math J, 1982, 187:17-39. 被引量:1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部