On Global Solution of Nonlinear Hyperbolic Equations

  title={On Global Solution of Nonlinear Hyperbolic Equations},
  author={D. H. SAIqOER},
  • D. H. SAIqOER
  • Published 2004
respectively, where F is an antiderivative of f : F, =f. Suppose that J has a local minimum at u = Uo(X). Then, in analogy with the local minimum of a potential function for a mechanical system with a finite number of degrees of freedom, we may imagine a potential well W situated at u = Uo in function space. If U lies in W and if the total energy of the initial data is less than the depth of W then we expect that (0.1)-(0.3) has a global solution. In this paper it is shown that under certain… CONTINUE READING
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