A universal regularization method for ill-posed Cauchy problems for quasilinear partial differential equations

Michael V. Klibanov

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arXiv · 1502.05606

A universal regularization method for ill-posed Cauchy problems for quasilinear partial differential equations

Michael V. Klibanov

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Abstract

For the first time, a globally convergent numerical method is presented for ill-posed Cauchy problems for quasilinear PDEs. The key idea is to use Carleman Weight Functions to construct globally strictly convex Tikhonov-like cost functionals.

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Michael V. Klibanov. 2015-02-17. A universal regularization method for ill-posed Cauchy problems for quasilinear partial differential equations. https://arxiv.org/abs/1502.05606

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