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Blowup for Nonlinear Hyperbolic Equations: 17 (Progress in Nonlinear Differential Equations and Their Applications) - Hardcover
Inhaltsangabe
Solutions to partial differential equations or systems often, over specific time periods, exhibit smooth behaviour. Given sufficient time, however, they almost invariably undergo a brutal change in behaviour, and this phenomenon has become known as "blowup". In this book, the author provides an overview of what is known about this situation and discusses many of the open problems concerning it. The book deals with classical solutions of global problems for hyperbolic equations or systems. The approach is based on the display and study of two local blowup mechanisms, which the author calls the "ordinary differential equation mechanism" and the "geometric blowup mechanism". It introduces, via energy methods, the concept of lifespan, related to the nonlinear propagation of regularity (from the past to the future). It addresses specifically the question of whether or not there will be blowup in a solution, and it classifies those methods used to give positive answers to the question. The material corresponds to a one semester course for students or researchers with a basic elementary knowledge of partial differential equations, especially of hyperbolic type including such topics as the Cauchy problem, wave operators, energy inequalities, finite speed of propagation, and symmetric systems. It contains a complete bibliography reflecting the high degree of activity among mathematicians interested in the problem.
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Solutions to partial differential equations or systems often, over specific time periods, exhibit smooth behaviour. Given sufficient time, however, they almost invariably undergo a brutal change in behaviour, and this phenomenon has become known as "blowup". In this book, the author provides an overview of what is known about this situation and discusses many of the open problems concerning it. The book deals with classical solutions of global problems for hyperbolic equations or systems. The approach is based on the display and study of two local blowup mechanisms, which the author calls the "ordinary differential equation mechanism" and the "geometric blowup mechanism". It introduces, via energy methods, the concept of lifespan, related to the nonlinear propagation of regularity (from the past to the future). It addresses specifically the question of whether or not there will be blowup in a solution, and it classifies those methods used to give positive answers to the question. The material corresponds to a one semester course for students or researchers with a basic elementary knowledge of partial differential equations, especially of hyperbolic type including such topics as the Cauchy problem, wave operators, energy inequalities, finite speed of propagation, and symmetric systems. It contains a complete bibliography reflecting the high degree of activity among mathematicians interested in the problem.
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Blowup for nonlinear hyperbolic equations. Progress in nonlinear differential equations and their applications; Bd. 17.
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Hardcover. XIV, 112 S. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-02604 9780817638108 Sprache: Englisch Gewicht in Gramm: 550. Bestandsnummer des Verkäufers 2488474
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Blowup for Nonlinear Hyperbolic Equations (Progress in Nonlinear Differential Equations and Their Applications, Volume 17)
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Zustand: Fine. First edition, first printing, 113 pp., Hardcover, previous owner's small hand stamp to front free endpaper else fine. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Bestandsnummer des Verkäufers ZB1322686
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Blowup For Nonlinear Hyperbolic Equations (Hb)
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Blowup for Nonlinear Hyperbolic Equations.
Verlag:
Boston, Basel, Berlin: Birkhäuser, 1995
ISBN 10: 0817638105
ISBN 13: 9780817638108
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gebundene Ausgabe. Zustand: Sehr gut. Progress in Nonlinear Differential Equations and Their Applications, Volume 17. Zust: Gutes Exemplar. XIV, 112 Seiten, Englisch 398g. Bestandsnummer des Verkäufers 492248
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