Regularization method for an ill-posed Cauchy problem for elliptic equations-Reference-Cited by-同舟云学术

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Regularization method for an ill-posed Cauchy problem for elliptic equations

Published:2017-01-01 Issue:3 Volume:25 Page:
ISSN:0928-0219
Container-title:Journal of Inverse and Ill-posed Problems
language:
Short-container-title:

Author:

Benrabah Abderafik,Boussetila Nadjib,Rebbani Faouzia

Abstract

AbstractThe paper is devoted to investigating a Cauchy problem for homogeneous elliptic PDEs in the abstract Hilbert space given by

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/jiip-2015-0075/pdf

Reference86 articles.

1. Multi-parameter Tikhonov regularization and model function approach to the damped Morozov principle for choosing regularization parameters;J. Comput. Appl. Math.,2012

2. Multiple parameter regularization: Numerical solutions and applications to the determination of geopotential from precise satellite orbits;J. Geod.,2006

3. Carleman estimates for the regularization of ill-posed Cauchy problems;Appl. Numer. Math.,2015

4. An improved non-local boundary value problem method for a cauchy problem of the Laplace equation;Numer. Algorithms,2012

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1. Regularized solution of an ill-posed biharmonic equation;Rendiconti del Circolo Matematico di Palermo Series 2;2021-01-07

2. Iterative regularization method for an abstract ill-posed generalized elliptic equation;Asian-European Journal of Mathematics;2020-06-13

3. Modified auxiliary boundary conditions method for an ill‐posed problem for the homogeneous biharmonic equation;Mathematical Methods in the Applied Sciences;2019-09-04

4. Modified nonlocal boundary value problem method for an ill-posed problem for the biharmonic equation;Inverse Problems in Science and Engineering;2018-05-01

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