A NONLOCAL FORMULATION OF THE DBAR FORMALISM AND BOUNDARY VALUE PROBLEMS IN TWO DIMENSIONS

We present an approach for solving a large class of boundary value problems for non-homogeneous elliptic Partial Differential Equations. We also present a nonlocal formulation of an important problem in complex analysis, the Dbar problem. As particular applications of our approach, we solve boundary...

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Bibliographic Details
Published inMathematical Methods In Scattering Theory And Biomedical Engineering pp. 200 - 207
Main Author PINOTSIS, D. A.
Format Book Chapter
LanguageEnglish
Published WORLD SCIENTIFIC 01.08.2006
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ISBN9812568603
9812773193
9789812773197
9789814477598
9814477591
9789812568601
DOI10.1142/9789812773197_0021

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Summary:We present an approach for solving a large class of boundary value problems for non-homogeneous elliptic Partial Differential Equations. We also present a nonlocal formulation of an important problem in complex analysis, the Dbar problem. As particular applications of our approach, we solve boundary value problems for the non homogeneous biharmonic as well as the equations governing creeping flow.
ISBN:9812568603
9812773193
9789812773197
9789814477598
9814477591
9789812568601
DOI:10.1142/9789812773197_0021