Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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SOLUTIONS OF QUASILINEAR WAVE EQUATION WITH STRONG AND NONLINEAR VISCOSITY

  • Hwang, Jin-Soo (Department of Mathematics Education College of Education Daegu University) ;
  • Nakagiri, Shin-Ichi (Department of Applied Mathematics Faculty of Engineering Kobe University) ;
  • Tanabe, Hiroki (Emeritus Professor of Osaka University)
  • Received : 2010.05.20
  • Published : 2011.07.01
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Abstract

We study a class of quasilinear wave equations with strong and nonlinear viscosity. By using the perturbation method for semilinear parabolic equations, we have established the fundamental results on existence, uniqueness and continuous dependence on data of weak solutions.

Keywords

References

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