NONEXISTENCE OF GLOBAL SOLUTIONS OF SOME QUASILINEAR INITIAL BOUNDARY VALUE PROBLEMS

  • 발행 : 1997.08.01

초록

In this paper, the nonexistence of the global solutions of semilinear wave equations with damping terms in the boundary conditions is investigated.

키워드

참고문헌

  1. J. of Diff. Equations v.109 Existence of a solution of the wave equation with nonlinear damping and source teums V. Georgiev;G. Todorova
  2. Math. Z. v.132 Blow-up theorems for nonlinear wave equations R. T. Glassey
  3. Zap, Nauckn. SLOMI Steklov v.69 no.77 The occurrence of collapse for quasilinear parabolic and hyperbolic types O. A. Ladyzhenskaya;V. K. Kalantarov
  4. Trans. Amer. Math. Soc. v.192 Instability and nonexistence of global solutions to nonlinear wave equations of the form $Pu_tt$ = Au + F(u), H. A. Levine
  5. SIAM J. Math. Anal. v.5 Some additional remarks on the nonexistence of global solutions to nonlinear wave equations H. A. Levine
  6. Math. Ann. v.214 Nonexistence of global weak solutions to some properly and improperly posed problems of mathematical physics: The method of unbounded Fourier coefficents H. A. Levine
  7. A global nonexistence theorem for quasilinear evolution equations with dissipation H. A. Levine;J. Serrin
  8. Equations Di erentielles Operationelles et Probleme aux Limites J. L. Lions
  9. Mathematische Nachrichten Remarks on Quasilinear Hyperbolic Equations with Dynamic Boundary Conditions S. R. Par
  10. J. Mathematical Analysis and Applications Nonexistence of Global Solutions of Some Quasilinear Hyperbolic Equations S. R. Park;M. Can;F. Aliyev