## 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. |

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### Contents

Introduction | 1 |

Elliptic Partial Differential Equations | 14 |

Boundary Value Problems Associated | 34 |

Copyright | |

8 other sections not shown

### Other editions - View all

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### Common terms and phrases

Algebraic analytic functions applied approximated arbitrary arguments assume Banach space becomes boundary bounded Chapter coefficients compact complex Consequently consider constant continuous converges corresponding defined Definition derivatives determined differential equation Dirichlet domain dx dy E-function Edited elliptic exists formal formula further Furthermore given Goursat Goursat problem Groups harmonic functions hence holomorphic functions hyperanalytic hypercomplex implies initial integral introduce Lemma LIBRARY linear mapping method namely obtain operator origin pair plane points possible problem Proof refer regular Remark representation respect satisfy seek seen shown singularities solution space substitution sufficient Theorem Theory turn uniformly unique UNIVERSITY OF CALIFORNIA valued vanishes variables Vekua yields zero