A survey of techniques in the theoretical study of partial differential equations, with particular emphasis on nonlinear equations, divided into three parts: representation formulas for solutions, theory for linear partial differential equations and theory for nonlinear partial differential equations. In the GRADUATE STUDIES IN MATHEMATICS series.
This is a survey of techniques in the theoretical study of partial differential equations (PDEs) with particular emphasis on nonlinear equations. The exposition is divided into three parts: representation formulas for solutions; theory for linear partial
Introduction; Part 1 - Representation Formulas for Solutions: Four important linear PDE; Nonlinear first-order PDE; Other ways to represent solutions; Part 2 - Theory for Linear Partial Differential Equations: Sobolev spaces; Second-order elliptic equations; Linear evolution equations; Part 3 - Theory for Nonlinear Partial Differential Equations: The calculus of variations; Nonvariational techniques; Hamilton-Jacobi equations; Systems of conservation laws; Appendices; Bibliography; Index
This is a survey of techniques in the theoretical study of partial differential equations (PDEs) with particular emphasis on nonlinear equations. The exposition is divided into three parts: representation formulas for solutions; theory for linear partial
Introduction; Part 1 - Representation Formulas for Solutions: Four important linear PDE; Nonlinear first-order PDE; Other ways to represent solutions; Part 2 - Theory for Linear Partial Differential Equations: Sobolev spaces; Second-order elliptic equations; Linear evolution equations; Part 3 - Theory for Nonlinear Partial Differential Equations: The calculus of variations; Nonvariational techniques; Hamilton-Jacobi equations; Systems of conservation laws; Appendices; Bibliography; Index