A Cauchy problem for elliptic equations: quasi-reversibility and error estimates

Authors: Đặng Đình Áng, Đặng Đức Trọng, Yamamoto Masahiro,

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Publisher, magazine: ,

Publication year: 2004

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Abstract

In this paper, we consider a Cauchy problem for an elliptic equation in a plane domain. The problem is ill-posed. Using the method of quasi-reversibility, an approximation to the exact solution is given. Using Carleman’s inequality, we derive a sharp error estimate.

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