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Technical Lectures on Nonlinear Hyperbolic Differential Equations

Posted on 2010-04-14




Name:Technical Lectures on Nonlinear Hyperbolic Differential Equations
ASIN/ISBN:3540629211
Publish Date:December 17, 2003
Pages:292 pages
File size:5 Mb
Pages: 292 pages
Publish Date: December 17, 2003
ISBN: 3540629211
File Size: 5 MB
Other Info: Springer; DJVU
   Technical Lectures on Nonlinear Hyperbolic Differential Equations

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Lectures on Nonlinear Hyperbolic Differential Equations

In this introductory textbook, a revised and extended version of well-known lectures by L. Hrmander from 1986, four chapters are devoted to weak solutions of systems of conservation laws. Apart from that the book only studies classical solutions. Two chapters concern the existence of global solutions or estimates of the lifespan for solutions of nonlinear perturbations of the wave or Klein-Gordon equation with small initial data. Four chapters are devoted to microanalysis of the singularities of the solutions. This part assumes some familiarity with pseudodifferential operators which are standard in the theory of linear differential operators, but the extension to the more exotic classes of opertors needed in the nonlinear theory is presented in complete detail.

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