대한수학회지 (Journal of the Korean Mathematical Society)

  • 제48권4호
  • /
  • Pages.867-885
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  • 2011
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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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)
  • 투고 : 2010.05.20
  • 발행 : 2011.07.01
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초록

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.

키워드

참고문헌

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피인용 문헌

  1. Weak and Strong Solutions for a Strongly Damped Quasilinear Membrane Equation vol.2017, 2017, https://doi.org/10.1155/2017/4529847