Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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SOME QUASILINEAR HYPERBOLIC EQUATIONS AND YOSICA APPROXIMATIONS

  • Park, Jong-Yeoul (DEPARTMENT OF MATHEMATICS, PUSAN NATIONAL UNIVERSITY) ;
  • Jung, Il-Hyo (DEPARTMENT OF MATHEMATICS, PUSAN NATIONAL UNIVERSITY) ;
  • Kang, Yong-Han (DEPARTMENT OF MATHEMATICS, PUSAN NATIONAL UNIVERSITY)
  • Published : 2001.08.01
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Abstract

We show the existence and uniqueness of solutions for the Cauchy problem for nonlinear evolution equations with the strong damping: ${\upsilon}"(t)-M(｜{\nablauu}(t)｜^2){\triangle}u(t)-{\delta}{\triangle}u'(t)=f(t)$. As an application, a Kirchhoff model with viscosity is given.

Keywords

References

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