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

2015/02/17 by Michael V. Klibanov, Klibanov, Michael V.
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1502.05606

arxiv created 2015/02/17 · arxiv updated 2015/02/20

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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