A universal regularization method for ill-posed Cauchy problems for quasilinear partial differential equations
Analysis of PDEs
2015-02-20 v1
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.
Cite
@article{arxiv.1502.05606,
title = {A universal regularization method for ill-posed Cauchy problems for quasilinear partial differential equations},
author = {Michael V. Klibanov},
journal= {arXiv preprint arXiv:1502.05606},
year = {2015}
}