Cheng Wei, Hua Zhao
Abstract
We give a new Carasso-Tikhonov regularization method for solving the Cauchy problem of Laplace equations,which is a well known and severely ill-posed problem,in the two-dimensional strip region.The order optimal convergence estimate is also provided by introducing a rather technical inequality.
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We give a new Carasso-Tikhonov regularization method for solving the Cauchy problem of Laplace equations,which is a well known and severely ill-posed problem,in the two-dimensional strip region.The order optimal convergence estimate is also provided by introducing a rather technical inequality.
Key concepts: Tikhonov regularization, Mathematics, Regularization (linguistics), Cauchy's convergence test, Cauchy distribution, Laplace transform, Backus–Gilbert method, Applied mathematics