• Title/Summary/Keyword: semilinear parabolic equations

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SOLUTIONS OF QUASILINEAR WAVE EQUATION WITH STRONG AND NONLINEAR VISCOSITY

  • Hwang, Jin-Soo;Nakagiri, Shin-Ichi;Tanabe, Hiroki
    • Journal of the Korean Mathematical Society
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    • v.48 no.4
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    • pp.867-885
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    • 2011
  • 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.