| Titre : | Partial differential equations | | Type de document : | texte imprimé | | Auteurs : | EVANS, Lawrence C., Auteur | | Mention d'édition : | 2nd. ed. | | Editeur : | Providence, Rhode Island : American Mathematical Society | | Année de publication : | 2010 | | Importance : | xxi, 749 p. | | Présentation : | ill. | | Format : | 27cm. | | ISBN/ISSN/EAN : | 978-0-8218-4974-3 | | Note générale : | Includes bibliographical references and index. | | Langues : | Anglais (eng) | | Catégories : | 540 Chimie et sciences connexes:500 Sciences de la nature et mathématiques:515 Analyse:515.3 Calcul différentiel et équations différentielles
| | Mots-clés : | Differential equations, Partial. | | Index. décimale : | 515.3 | | Résumé : | "This is the second edition of the now definitive text on partial differential equations (PDE). It offers a comprehensive survey of modern techniques in the theoretical study of PDE with particular emphasis on nonlinear equations. Its wide scope and clear exposition make it a great text for a graduate course in PDE. For this edition, the author has made numerous changes, including: a new chapter on nonlinear wave equations, more than 80 new exercises, several new sections, and a significantly expanded bibliography."--Publisher's description. | | Note de contenu : | PART I. REPRESENTATION FORMULAS FOR SOLUTIONS: Four important linear PDE -- Nonlinear first-order PDE -- Other ways to represent solutions -- PART II. THEORY FOR LINEAR PARTIAL DIFFERENTIAL EQUATIONS: Sobolev spaces -- Second-order elliptic equations -- Linear evolution equations -- PART III. THEORY FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS: The calculus of variations -- Nonvariational techniques -- Hamilton-Jacobi equations -- Systems of conservation laws -- Nonlinear wave equations. |
Partial differential equations [texte imprimé] / EVANS, Lawrence C., Auteur . - 2nd. ed. . - Providence, Rhode Island : American Mathematical Society, 2010 . - xxi, 749 p. : ill. ; 27cm.. ISBN : 978-0-8218-4974-3 Includes bibliographical references and index. Langues : Anglais ( eng) | Catégories : | 540 Chimie et sciences connexes:500 Sciences de la nature et mathématiques:515 Analyse:515.3 Calcul différentiel et équations différentielles
| | Mots-clés : | Differential equations, Partial. | | Index. décimale : | 515.3 | | Résumé : | "This is the second edition of the now definitive text on partial differential equations (PDE). It offers a comprehensive survey of modern techniques in the theoretical study of PDE with particular emphasis on nonlinear equations. Its wide scope and clear exposition make it a great text for a graduate course in PDE. For this edition, the author has made numerous changes, including: a new chapter on nonlinear wave equations, more than 80 new exercises, several new sections, and a significantly expanded bibliography."--Publisher's description. | | Note de contenu : | PART I. REPRESENTATION FORMULAS FOR SOLUTIONS: Four important linear PDE -- Nonlinear first-order PDE -- Other ways to represent solutions -- PART II. THEORY FOR LINEAR PARTIAL DIFFERENTIAL EQUATIONS: Sobolev spaces -- Second-order elliptic equations -- Linear evolution equations -- PART III. THEORY FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS: The calculus of variations -- Nonvariational techniques -- Hamilton-Jacobi equations -- Systems of conservation laws -- Nonlinear wave equations. |
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