Screen LibraryPartial differential equations
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| Main Authors: | |
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| Published: |
American Mathematical Society,
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| Publisher Address: | Providence, R.I. |
| Publication Dates: | c2010. |
| Literature type: | Book |
| Language: | English |
| Edition: | 2nd ed. |
| Series: |
Graduate studies in Mathematics ; v. 19 |
| Subjects: | |
| Carrier Form: | xxi, 749 p.: ill. ; 27 cm. |
| ISBN: |
9780821849743 (alk. paper) 0821849743 (alk. paper) |
| Index Number: | O175 |
| CLC: | O175.2 |
| Call Number: | O175.2/E927/2nd.ed. |
| Contents: |
Includes bibliographical references (p.735-740) and index. 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. "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. |