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- W2097736583 abstract "In this paper, we consider a Cauchy problem for the Poisson equation with nonhomogeneous source. The problem is shown to be ill-posed as the solution exhibits unstable dependence on the given data function. Using a new method, we regularize the given problem and obtain some new results. Two numerical examples are given to illustrate the effectiveness of our method. MSC:35K05, 35K99, 47J06, 47H10." @default.
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- W2097736583 date "2014-10-13" @default.
- W2097736583 modified "2023-10-02" @default.
- W2097736583 title "On a general filter regularization method for the 2D and 3D Poisson equation in physical geodesy" @default.
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- W2097736583 doi "https://doi.org/10.1186/1687-1847-2014-258" @default.
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