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Partial Differential Equations
This text gives a comprehensive survey of modern techniques in the theoretical study of partial differential equations (PDEs) with particular emphasis on nonlinear equations. The exposition is divided into three parts: 1) representation formulas for solutions, 2) theory for linear partial differential equations, and 3) theory for nonlinear partial differential equations.
Hardcover, 662 pages
Published January 1st 1998 by American Mathematical Society(RI)
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The bible of PDE's. If you're not familiar with his notation he introduces it in the beginning of the text. This work is readable and understandable which is often rare for mathematics at this level. Evans is thorough in his covering of nearly the breadth of PDE's up to the point of publication. Enough for a graduate level sequence in the subject, and perhaps then some. A sufficient mastery of multivariate calculus and ordinary differential equations is necessary to tackle this work. Some previo ...more
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