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Lectures on Nonlinear Hyperbolic Differential Equations

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ISBN-10: 3540629211

ISBN-13: 9783540629214

Edition: 1997

Authors: Lars H�rmander

List price: $59.99
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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…    
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Book details

List price: $59.99
Copyright year: 1997
Publisher: Springer Berlin / Heidelberg
Publication date: 7/17/1997
Binding: Paperback
Pages: 290
Size: 6.50" wide x 9.50" long x 0.75" tall
Weight: 1.100
Language: English

Ordinary differential equations
Scalar first order equations with one space variable
Scalar first order equations with several variables
First order systems of conservation laws with one space
Compensated compactness
Nonlinear perturbations of the wave equation
Nonlinear perturbations of the Klein-Gordon equation
Microlocal analysis
Pseudo-differential operators of type 1,1
Paradifferential calculus
Propagation of singularities
Appendix on pseudo-Riemannian geometry
Index of notations