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Constructive Methods for Elliptic Equations

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Author(s): Robert P. Gilbert (auth.)
Series: Lecture Notes in Mathematics 365
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1974

Language: English
Pages: 402
Tags: Mathematics, general

Introduction....Pages 1-13
Elliptic partial differential equations in two variables with analytic coefficients....Pages 14-33
Boundary value problems associated with e[u]=0....Pages 34-61
Higher order, linear elliptic equations of two independent variables....Pages 62-87
Further representations for solutions of higher order elliptic differential equations with analytic coefficients....Pages 88-115
Elliptic equations in dimension n≥3....Pages 116-176
Singularity properties of solutions to partial differential equations....Pages 177-209
Higher order and higher dimensional elliptic problems....Pages 210-257
Initial value problems for semilinear elliptic equations....Pages 258-301
Elliptic systems of first order differential equations: General theory....Pages 302-362
Elliptic systems of first order differential equations: Further results and constructive methods....Pages 363-390