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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Partial differential equations by Lawrence C. Evans. ISBN 9780821849743. Published by American Mathematical Society in 2010. Publication and catalogue information, links to buy online and reader comments.
