Abstract differential equations and nonlinear mixed problems (Publications of the Scuola Normale Superiore)

by Tosio Kato

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The present article is based on the Fermi Lectures I gave in May, 1985, at Scuola Normale Superiore, Pisa, in which I discussed various methods for solving the Cauchy problem for abstract nonlinear differential equations of evolution type. Here I present a detailed exposition of one of these methods, which deals with "elliptic-hyperbolic" equations in the abstract form and which has applications, among other things, to mixed initial-boundary value problems for certain nonlinear partial differential equations, such as elastodynamic and Schroedinger equations.
  • ISBN13 9788876422485
  • Publish Date 1 October 1988
  • Publish Status Active
  • Publish Country IT
  • Publisher Birkhauser Verlag AG
  • Imprint Scuola Normale Superiore
  • Format Paperback
  • Pages 87
  • Language English