대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제38권3호
  • /
  • Pages.505-516
  • /
  • 2001
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

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)
  • 발행 : 2001.08.01
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초록

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.

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참고문헌

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  2. Proc. Roy. Soc. v.82 The initial value problem for a nonlinear semi-infinite string R. W. Dickey
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