01925cam a2200265 a 4500
15977783
20171006032018.0
091109s2010 riua b 001 0 eng
9780821849743
BYT
BYT
BYT
515.353
Evans, Lawrence C.,
1949-
2259
Partial differential equations /
Lawrence C. Evans.
Second edition
Providence, R.I. :
American Mathematical Society,
c2010.
xxi, 749 pages :
illustrations ;
27 cm.
Graduate studies in mathematics ;
v. 19
Includes bibliographical references 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.
Differential equations, Partial.
Ecuaciones diferenciales, Parciales
2762
Graduate studies in mathematics ;
v. 19.
ddc
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