Energy decay for systems of semilinear wave equations with dissipative structure in two space dimensions

  • Soichiro Katayama
  • Akitaka Matsumura
  • Hideaki Sunagawa
Article
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Abstract

We consider the Cauchy problem for systems of semilinear wave equations in two space dimensions. We present a structural condition on the nonlinearity under which the energy decreases to zero as time tends to infinity if the Cauchy data are sufficiently small, smooth and compactly-supported.

Keywords

Nonlinear wave equations Energy decay 

Mathematics Subject Classification

Primary 35L71 Secondary 35B40 
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Copyright information

© Springer Basel 2014

Authors and Affiliations

  • Soichiro Katayama
    • 1
  • Akitaka Matsumura
    • 2
  • Hideaki Sunagawa
    • 3
  1. 1.Department of MathematicsWakayama UniversityWakayamaJapan
  2. 2.Department of Pure and Applied Mathematics, Graduate School of Information Science and TechnologyOsaka UniversityToyonakaJapan
  3. 3.Department of Mathematics, Graduate School of ScienceOsaka UniversityToyonakaJapan

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