ISBN: 9780387878232

The aim of this book is to present hyperbolic partial di?erential equations at an elementary level.In fact, the required mathematical background is only a third year university course on … Mehr…

The aim of this book is to present hyperbolic partial di?erential equations at an elementary level.In fact, the required mathematical background is only a third year university course on di?erential calculus for functions of several variables.No functional analysis knowledge is needed, nor any distribution theory (with the exception of shock waves mentioned below). k All solutions appearing in the text are piecewise classical C solutions.Beyond the simpli?cations it allows, there are several reasons for this choice: First, we believe that all main features of hyperbolic partial d- ferential equations (PDE) (well-posedness of the Cauchy problem, ?nite speed of propagation, domains of determination, energy inequalities, etc. ) canbedisplayedinthiscontext. Wehopethatthisbookitselfwillproveour belief. Second,allproperties,solutionformulas,andinequalitiesestablished here in the context of smooth functions can be readily extended to more general situations (solutions in Sobolev spaces or temperate distributions, etc. ) by simple standard procedures of functional analysis or distribution theory, which are "external" to the theory of hyperbolic equations: The deep mathematical content of the theorems is already to be found in the statements and proofs of this book.The last reason is this: We do hope that many readers of this book will eventually do research in the ?eld that seems to us the natural continuation of the subject: nonlinear hyp- bolic systems (compressible ?uids, general relativity theory, etc. ).; PDF; Scientific, Technical and Medical > Mathematics > Calculus & mathematical analysis, Springer New York<

2009, ISBN: 9780387878232

eBooks, eBook Download (PDF), 2009, The aim of this book is to present hyperbolic partial di?erential equations at an elementary level. In fact, the required mathematical background is on… Mehr…

eBooks, eBook Download (PDF), 2009, The aim of this book is to present hyperbolic partial di?erential equations at an elementary level. In fact, the required mathematical background is only a third year university course on di?erential calculus for functions of several variables. No functional analysis knowledge is needed, nor any distribution theory (with the exception of shock waves mentioned below). k All solutions appearing in the text are piecewise classical C solutions. Beyond the simpli?cations it allows, there are several reasons for this choice: First, we believe that all main features of hyperbolic partial d- ferential equations (PDE) (well-posedness of the Cauchy problem, ?nite speed of propagation, domains of determination, energy inequalities, etc. ) canbedisplayedinthiscontext. Wehopethatthisbookitselfwillproveour belief. Second,allproperties,solutionformulas,andinequalitiesestablished here in the context of smooth functions can be readily extended to more general situations (solutions in Sobolev spaces or temperate distributions, etc. ) by simple standard procedures of functional analysis or distribution theory, which are ?external? to the theory of hyperbolic equations: The deep mathematical content of the theorems is already to be found in the statements and proofs of this book. The last reason is this: We do hope that many readers of this book will eventually do research in the ?eld that seems to us the natural continuation of the subject: nonlinear hyp- bolic systems (compressible ?uids, general relativity theory, etc. ). [PU: Springer New York], Seiten: 150, Springer New York, 2009<

2009, ISBN: 9780387878232

Springer, Kindle Ausgabe, Auflage: 2009, 162 Seiten, Publiziert: 2009-06-17T00:00:00.000Z, Produktgruppe: Digital Ebook Purchas, Mathematik, Naturwissenschaften & Technik, Kategorien, Büc… Mehr…

Springer, Kindle Ausgabe, Auflage: 2009, 162 Seiten, Publiziert: 2009-06-17T00:00:00.000Z, Produktgruppe: Digital Ebook Purchas, Mathematik, Naturwissenschaften & Technik, Kategorien, Bücher, Wissenschaft & Natur, Fremdsprachige eBooks, Kindle eBooks, Kindle-Shop, Differentialgleichung, Angewandte Mathematik, Fachbücher, Englische eBooks, Nach Sprache, Vektoranalyse, Mathematische Analyse, Format: Kindle eBook, Springer, 2009<

2009, ISBN: 9780387878232

Springer, Kindle Edition, Auflage: 2009, 162 Seiten, Publiziert: 2009-06-17T00:00:00.000Z, Produktgruppe: Digital Ebook Purchas, Differential Equations, Applied, Mathematics, Science & Ma… Mehr…

Springer, Kindle Edition, Auflage: 2009, 162 Seiten, Publiziert: 2009-06-17T00:00:00.000Z, Produktgruppe: Digital Ebook Purchas, Differential Equations, Applied, Mathematics, Science & Math, Subjects, Books, Vector Analysis, Stochastic Modeling, Mathematical Analysis, Specialty Boutique, Kindle eBooks, Categories, Kindle Store, Format: Kindle eBook, Springer, 2009<

2009, ISBN: 9780387878232

eBooks, eBook Download (PDF), 2009, [PU: Springer New York], Springer New York, 2009