Partial differential equations

"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 g...

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Détails bibliographiques
Auteur principal : Evans Lawrence C. (Auteur)
Format : Livre
Langue : anglais
Titre complet : Partial differential equations / Lawrence C. Evans, ...
Édition : 2nd edition, reprinted with corrections 2015
Publié : Providence, Rhode Island : American Mathematical Society , 2015
Description matérielle : 1 vol. (XXI-754 p.)
Collection : Graduate studies in mathematics ; 19
Sujets :
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215 |a 1 vol. (XXI-754 p.)  |c ill.  |d 27 cm 
225 2 |a Graduate studies in mathematics  |v volume 19 
320 |a Bibliogr. p. 739-744. Index 
330 |a "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."  |2 4e de couverture 
359 2 |c 1. Introduction.  |b Part I: Representation formulas for solutions.  |c 2. Four important linear PDE.  |c 3. Nonlinear first-order PDE.  |c 4. Other ways to represent solutions.  |b Part II: Theory for linear partial differential equations.  |c 5. Sobolev spaces.  |c 6. Second-order elliptic equations.  |c 7. Linear evolution equations.  |b Part III: Theory for nonlinear partial differential equations.  |c 8. The calculus of variations.  |c 9. Nonvariational techniques.  |c 10. Hamilton-Jacobi equations.  |c 11. Systems of conservation laws.  |c 12. Nonlinear wave equations. 
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