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arXiv 2015-02-17 0 views

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

Klibanov, Michael V.

Original · EN

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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