Singular Nonlinear Partial Differential Equations: 28 (Aspects of Mathematics) - Tapa blanda

G�rard, Raymond; Tahara, Hidetoshi

9783322802866: Singular Nonlinear Partial Differential Equations: 28 (Aspects of Mathematics)

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ISBN 10: 3322802868 ISBN 13: 9783322802866

Editorial: Vieweg+Teubner Verlag, 2011

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Das Anliegen dieser mathematischen Monographie ist die Zusammenfassung aller Resultate, die heutzutage vorliegen �ber die Existenz formaler, holomorpher oder singul�rer L�sungen von singul�ren nicht-linearen partiellen Differentialgleichungen.

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Prof. Raymond Gerard ist am Institut de Recherche Math�matique Alsacien an der Universit� Louis Pasteur in Strasbourg besch�ftigt. Prof. Hidetoshi Tahara lehrt an der Sophia Universit�t in Tokyo.

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Editorial: Vieweg+Teubner Verlag
A�o de publicaci�n: 2011
Idioma: Ingl�s
ISBN 10: 3322802868
ISBN 13: 9783322802866
Encuadernaci�n: Tapa blanda
N�mero de p�ginas: 284
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Singular Nonlinear Partial Differential Equations

Raymond G�rard|Hidetoshi Tahara

Publicado por Vieweg+Teubner Verlag, 2011

ISBN 10: 3322802868 ISBN 13: 9783322802866

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Singular Nonlinear Partial Differential Equations

Raymond G�rard

Publicado por Springer, Berlin, Vieweg+Teubner Dez 2011, 2011

ISBN 10: 3322802868 ISBN 13: 9783322802866

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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania

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Taschenbuch. Condici�n: 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. N� de ref. del art�culo: 9783322802866

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Singular Nonlinear Partial Differential Equations

Hidetoshi Tahara

Publicado por Vieweg+Teubner Verlag, 2011

ISBN 10: 3322802868 ISBN 13: 9783322802866

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Librería: AHA-BUCH GmbH, Einbeck, Alemania

Calificaci�n del vendedor: 5 de 5 estrellas

Taschenbuch. Condici�n: 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. N� de ref. del art�culo: 9783322802866

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Singular Nonlinear Partial Differential Equations (Aspects of Mathematics)

G�rard, Raymond; Tahara, Hidetoshi

Publicado por Vieweg+Teubner Verlag, 2011

ISBN 10: 3322802868 ISBN 13: 9783322802866

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Librería: Ria Christie Collections, Uxbridge, Reino Unido

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Singular Nonlinear Partial Differential Equations

Hidetoshi Tahara

Publicado por Vieweg+Teubner Verlag, Vieweg+Teubner Verlag Dez 2011, 2011

ISBN 10: 3322802868 ISBN 13: 9783322802866

Nuevo Taschenbuch

Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania

Calificaci�n del vendedor: 5 de 5 estrellas

Taschenbuch. Condici�n: Neu. 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.Springer Vieweg in Springer Science + Business Media, Abraham-Lincoln-Stra�e 46, 65189 Wiesbaden 284 pp. Englisch. N� de ref. del art�culo: 9783322802866

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