Description

Book Synopsis
Contains the Pitcher lectures presented by Fritz John in April 1989. This work deals with existence in the large of solutions of initial value problems for nonlinear hyperbolic partial differential equations. It examines the way in which solutions can, even with small and very smooth initial data, 'blow up' after a finite time.

Table of Contents
Equations in one space variable Blow-up in higher dimensions Longtime existence for solutions of nonlinear wave equations with small initial data Appendix I. Uniqueness for nonlinear wave equations Appendix II. Klainerman's inequality.

Nonlinear Wave Equations Formation of Singularities

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    A Paperback by American Mathem American Mathem

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      Publisher: MP-AMM American Mathematical
      Publication Date: Publication Date:
      ISBN13: 9780821870013, 978-0821870013
      ISBN10:

      Description

      Book Synopsis
      Contains the Pitcher lectures presented by Fritz John in April 1989. This work deals with existence in the large of solutions of initial value problems for nonlinear hyperbolic partial differential equations. It examines the way in which solutions can, even with small and very smooth initial data, 'blow up' after a finite time.

      Table of Contents
      Equations in one space variable Blow-up in higher dimensions Longtime existence for solutions of nonlinear wave equations with small initial data Appendix I. Uniqueness for nonlinear wave equations Appendix II. Klainerman's inequality.

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