Constructive Methods for Elliptic EquationsPrimarily these lectures are a report on recent work by the Indiana University group working on Function theoretic methods as applied to the theory of partial differential equations. |
Contents
TABLE OF CONTENTS | 1 |
Elliptic Partial Differential Equations | 14 |
Boundary Value Problems Associated | 34 |
Copyright | |
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analytic functions Bergman boundary value bounded Cauchy Cauchy data coefficients Colton complex variables continuous CR-holomorphic D₂ defined Definition differential equation Dirichlet problem Douglis dx dy E-function elliptic equations exists formula Furthermore given Goursat data Goursat problem H₂ harmonic functions harmonic polynomials hence Hölder Hölder continuous holomorphic functions hyper hyperanalytic hypercomplex hypercomplex functions i+eb initial conditions integral equation Lemma mapping obtain operator partial differential equation plane pluriharmonic functions points polydisk Proof real hypercomplex recursive regular domain representation Riemann function satisfy shown simply-connected solution of 2.28 subharmonic t₁ Theorem Tjong's unique solution value problems Vekua xo² z₁ zero ας Δυ Σ Σ пі ՐՐ