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Quasi-reversibility Regularization Methods for the Cauchy Problem of Elliptic Equations

Author: ZhangHongWu
Tutor: WeiZuo
School: Lanzhou University
Course: Applied Mathematics
Keywords: The Cauchy problem for elliptic equations Quasi-inverse regularization method Convergence estimates
CLC: O175.25
Type: Master's thesis
Year: 2010
Downloads: 36
Quote: 0
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Abstract


In this paper, a kind of quasi inverse regularization method to solve the Cauchy problem for elliptic equations , including the Cauchy problem for the Helmholtz equation Cauchy problem of the Laplace equation . Elliptic equations are known to the Cauchy problem is severely ill-posed problem , that the solution does not depend continuously on the to the Cauchy data . priori bounded exact solution of the appropriate assumptions and regularization parameter is selected , we get the convergence estimates and numerical results show that the proposed method is highly efficient and stable .

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Partial Differential Equations > Elliptic equations
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