Asymptotic Behavior of Solutions for Kirchhoff Type Dissipative Wave Equations in Unbounded Domains

• Ono, Kosuke

書誌事項

タイトル別名

• Kirchhoff Type Dissipative Wave Equations in Unbounded Domains

抄録

Consider the Cauchy problem for the non-degenerate Kirchhoff type dissipative wave equations with the initial data belonging to H2(RN)×H1(RN) in unbounded domains. When the coefficient ρ or the initial energy E(0) is small at least, we show the global existence theorem and derive decay estimates of energies in the L2-frame. Moreover, when the initial data belong to L1(RN)×L1(RN) in addition, we improve the decay rates of the solutions.

収録刊行物

• Journal of Mathematics

  Journal of Mathematics 51 37-54, 2017

  TOKUSHIMA UNIVERSITY

詳細情報

• CRID: 1050282812443148928
• NII論文ID: 120006483303
• NII書誌ID: AA11595324
• ISSN: 13467387
• Web Site: http://repo.lib.tokushima-u.ac.jp/111825
• 本文言語コード: en
• 資料種別: departmental bulletin paper
• データソース種別:
  • IRDB
  • CiNii Articles