Constructive Methods for Elliptic Equations

Robert P. Gilbert (auth.)9780387068329, 0-387-06832-5

Table of contents :
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