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Englisch
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Beschreibung
Partial differential equations are fundamental to the modeling of natural phenomena; they arise in every field of science. Consequently, the desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians; it has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. This book, meant for a beginning graduate student audience, provides a thorough introduction to partial differential equations. It will bring the student up to the level of beginning research in the field.
Partial differential equations are fundamental to the modeling of natural phenomena; they arise in every field of science. Consequently, the desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians; it has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. This book, meant for a beginning graduate student audience, provides a thorough introduction to partial differential equations. It will bring the student up to the level of beginning research in the field.
Zusammenfassung
Partial differential equations are fundamental to the modeling of natural phenomena; they arise in every field of science. Consequently, the desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians; it has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. This book, meant for a beginning graduate student audience, provides a thorough introduction to partial differential equations. It will bring the student up to the level of beginning research in the field.
Inhaltsverzeichnis
Introduction* Characteristics* Classification of Characteristics * Conservation Laws and Shocks* Maximum Principles* Distributions* Function Spaces* Sobolev Spaces * Operator Theory * Linear Elliptic Equations * Nonlinear Elliptic Equations * Energy Methods for Evolution Problems * Semigroup Methods * References * Index
Details
| Erscheinungsjahr: | 2010 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Reihe: | Texts in Applied Mathematics |
| Inhalt: |
xiv
434 S. 21 s/w Illustr. 434 p. 21 illus. |
| ISBN-13: | 9781441918208 |
| ISBN-10: | 1441918205 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Renardy, Michael
Rogers, Robert C. |
| Auflage: | Second Edition 2004 |
| Hersteller: |
Humana
Springer Springer US, New York, N.Y. Texts in Applied Mathematics |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 25 mm |
| Von/Mit: | Michael Renardy (u. a.) |
| Erscheinungsdatum: | 15.12.2010 |
| Gewicht: | 0,68 kg |