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In this introductory textbook, a revised and extended version of well-known lectures by L. Hörmander 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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This introduction to the theory of nonlinear hyperbolic differential equations, a revised and extended version of widely circulated lecture notes from 1986, starts from a very elementary level with standard existence and uniqueness theorems for ordinary differential equations, but they are at once supplemented with less well-known material, required later on. A detailed and explicit study of discontinuous solutions of a model equation, Burgers' equation, is then followed by a general study of solutions of conservation laws, with one unknown or one space variable. Asymptotic properties of solutions of the linear wave equation and the Klein-Gordon equation are studied in detail as a preparation for the study of solutions of nonlinear perturbations with small and smooth initial data. Existence of solutions for all times is proved for large space dimensions and lower bounds for the "lifespan" of the solutions are given in low space dimensions. The last four chapters are devoted to microlocal analysis of singularities of solutions of nonlinear differential equations by means of the paradifferential techniques of J.-M. Bony.
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Lectures on nonlinear hyperbolic differential equations Lars Hörmander. Mathématiques & [et] applications 26; Mathématiques & applications 26.
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Berlin, Springer [1997]., 1997
ISBN 10: 3540629211
ISBN 13: 9783540629214
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Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 35 HOE 9783540629214 Sprache: Englisch Gewicht in Gramm: 550. Codice articolo 2504980
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Lectures on Nonlinear Hyperbolic Differential Equations
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Springer Berlin Heidelberg, 1997
ISBN 10: 3540629211
ISBN 13: 9783540629214
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Lectures on Nonlinear Hyperbolic Differential Equastions.
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Paris, Springer, 1997
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ISBN 13: 9783540629214
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Softcover/Paperback. Condizione: Sehr gut. VII, 289 Seiten. Sehr gut erhalten. 9783540629214 Sprache: Englisch Gewicht in Gramm: 1200. Codice articolo 96847
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Lectures on Nonlinear Hyperbolic Differential Equations (Mathématiques et Applications)
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Paperback. Condizione: Very Good. Type: Book N.B. Small plain label to inside front cover. Slight scratch to front cover. Codice articolo 054031
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Lectures on Nonlinear Hyperbolic Differential Equations
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Springer Berlin Heidelberg, 1997
ISBN 10: 3540629211
ISBN 13: 9783540629214
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Kartoniert / Broschiert. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The book is a revised and extended version of Lars Hoermander s widely circulated lecture notes from 1986-87.In this introductory textbook, a revised and extended version of well-known lectures by L. Hoermander from 1986, four chapters are devoted to weak. Codice articolo 4896127
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Lectures on Nonlinear Hyperbolic Differential Equations
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ISBN 10: 3540629211
ISBN 13: 9783540629214
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In this introductory textbook, a revised and extended version of well-known lectures by L. Hörmander 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. 304 pp. Englisch. Codice articolo 9783540629214
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Lectures on Nonlinear Hyperbolic Differential Equations (Mathématiques et Applications, 26)
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Lectures on Nonlinear Hyperbolic Differential Equations (Paperback or Softback)
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Paperback or Softback. Condizione: New. Lectures on Nonlinear Hyperbolic Differential Equations 1.1. Book. Codice articolo BBS-9783540629214
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Lectures on Nonlinear Hyperbolic Differential Equations
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Springer Berlin Heidelberg, 1997
ISBN 10: 3540629211
ISBN 13: 9783540629214
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Da: AHA-BUCH GmbH, Einbeck, Germania
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - In this introductory textbook, a revised and extended version of well-known lectures by L. Hörmander 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. Codice articolo 9783540629214
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Lectures on Nonlinear Hyperbolic Differential Equations
ISBN 10: 3540629211
ISBN 13: 9783540629214
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Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
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Taschenbuch. Condizione: Neu. Neuware -In this introductory textbook, a revised and extended version of well-known lectures by L. Hörmander 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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 304 pp. Englisch. Codice articolo 9783540629214
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