An iterative procedure for solving a Cauchy problem for second order elliptic equations | Zendy

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An iterative procedure for solving a Cauchy problem for second order elliptic equations

Author(s) -

Johansson Tomas

Publication year - 2004

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200310188

Subject(s) - mathematics , boundary value problem , cauchy distribution , elliptic operator , convergence (economics) , iterative method , initial value problem , cauchy's convergence test , order (exchange) , elliptic partial differential equation , operator (biology) , mathematical analysis , cauchy problem , space (punctuation) , semi elliptic operator , cauchy boundary condition , free boundary problem , partial differential equation , mathematical optimization , differential operator , computer science , repressor , economic growth , chemistry , operating system , biochemistry , transcription factor , finance , economics , gene

An iterative method for reconstruction of solutions to second order elliptic equations by Cauchy data given on a part of the boundary, is presented. At each iteration step, a series of mixed well‐posed boundary value problems are solved for the elliptic operator and its adjoint. The convergence proof of this method in a weighted L 2 space is included. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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