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Sinossi
Das Anliegen dieser mathematischen Monographie ist die Zusammenfassung aller Resultate, die heutzutage vorliegen über die Existenz formaler, holomorpher oder singulärer Lösungen von singulären nicht-linearen partiellen Differentialgleichungen.
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Informazioni sull?autore
Prof. Raymond Gerard ist am Institut de Recherche Mathématique Alsacien an der Université Louis Pasteur in Strasbourg beschäftigt. Prof. Hidetoshi Tahara lehrt an der Sophia Universität in Tokyo.
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Singular Nonlinear Partial Differential Equations (Aspects of Mathematics)
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Singular Nonlinear Partial Differential Equations (Aspects of Mathematics)
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Singular Nonlinear Partial Differential Equations (Aspects of Mathematics)
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Singular Nonlinear Partial Differential Equations
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Springer, Berlin, Vieweg+Teubner Dez 2011, 2011
ISBN 10: 3322802868
ISBN 13: 9783322802866
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The aim of this book is to put together all the results that are known about the existence of formal, holomorphic and singular solutions of singular non linear partial differential equations. We study the existence of formal power series solutions, holomorphic solutions, and singular solutions of singular non linear partial differential equations. In the first chapter, we introduce operators with regular singularities in the one variable case and we give a new simple proof of the classical Maillet's theorem for algebraic differential equations. In chapter 2, we extend this theory to operators in several variables. The chapter 3 is devoted to the study of formal and convergent power series solutions of a class of singular partial differential equations having a linear part, using the method of iteration and also Newton's method. As an appli cation of the former results, we look in chapter 4 at the local theory of differential equations of the form xy' = 1(x,y) and, in particular, we show how easy it is to find the classical results on such an equation when 1(0,0) = 0 and give also the study of such an equation when 1(0,0) #- 0 which was never given before and can be extended to equations of the form Ty = F(x, y) where T is an arbitrary vector field. 272 pp. Englisch. Codice articolo 9783322802866
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Singular Nonlinear Partial Differential Equations
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Singular Nonlinear Partial Differential Equations
Editore:
Walter de Gruyter, Incorporated, 2011
ISBN 10: 3322802868
ISBN 13: 9783322802866
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Condizione: New. pp. viii + 272. Codice articolo 2648023215
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Singular Nonlinear Partial Differential Equations
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Walter de Gruyter, Incorporated, 2011
ISBN 10: 3322802868
ISBN 13: 9783322802866
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Da: Majestic Books, Hounslow, Regno Unito
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Condizione: New. Print on Demand pp. viii + 272. Codice articolo 44792176
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Singular Nonlinear Partial Differential Equations
Editore:
Walter de Gruyter, Incorporated, 2011
ISBN 10: 3322802868
ISBN 13: 9783322802866
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Brossura
Da: Biblios, Frankfurt am main, HESSE, Germania
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Singular Nonlinear Partial Differential Equations
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Vieweg+Teubner Verlag, Vieweg+Teubner Verlag Dez 2011, 2011
ISBN 10: 3322802868
ISBN 13: 9783322802866
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Taschenbuch
Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The aim of this book is to put together all the results that are known about the existence of formal, holomorphic and singular solutions of singular non linear partial differential equations. We study the existence of formal power series solutions, holomorphic solutions, and singular solutions of singular non linear partial differential equations. In the first chapter, we introduce operators with regular singularities in the one variable case and we give a new simple proof of the classical Maillet's theorem for algebraic differential equations. In chapter 2, we extend this theory to operators in several variables. The chapter 3 is devoted to the study of formal and convergent power series solutions of a class of singular partial differential equations having a linear part, using the method of iteration and also Newton's method. As an appli cation of the former results, we look in chapter 4 at the local theory of differential equations of the form xy' = 1(x,y) and, in particular, we show how easy it is to find the classical results on such an equation when 1(0,0) = 0 and give also the study of such an equation when 1(0,0) #- 0 which was never given before and can be extended to equations of the form Ty = F(x, y) where T is an arbitrary vector field.Vieweg+Teubner Verlag, Abraham-Lincoln-Straße 46, 65189 Wiesbaden 284 pp. Englisch. Codice articolo 9783322802866
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Singular Nonlinear Partial Differential Equations
Da: AHA-BUCH GmbH, Einbeck, Germania
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - The aim of this book is to put together all the results that are known about the existence of formal, holomorphic and singular solutions of singular non linear partial differential equations. We study the existence of formal power series solutions, holomorphic solutions, and singular solutions of singular non linear partial differential equations. In the first chapter, we introduce operators with regular singularities in the one variable case and we give a new simple proof of the classical Maillet's theorem for algebraic differential equations. In chapter 2, we extend this theory to operators in several variables. The chapter 3 is devoted to the study of formal and convergent power series solutions of a class of singular partial differential equations having a linear part, using the method of iteration and also Newton's method. As an appli cation of the former results, we look in chapter 4 at the local theory of differential equations of the form xy' = 1(x,y) and, in particular, we show how easy it is to find the classical results on such an equation when 1(0,0) = 0 and give also the study of such an equation when 1(0,0) #- 0 which was never given before and can be extended to equations of the form Ty = F(x, y) where T is an arbitrary vector field. Codice articolo 9783322802866
Quantità: 1 disponibili