2 papers
math.AP2016
Carleman weight functions for a globally convergent numerical method for ill-posed Cauchy problems for some quasilinear PDEs
Anatoly B. Bakushinskii, Michael V. Klibanov, Nikolaj A. Koshev
In a series of publications of the second author, including some with coauthors, globally strictly convex Tikhonov-like functionals were constructed for some nonlinear ill-posed pr…
math-ph2016
Numerical solution of an ill-posed Cauchy problem for a quasilinear parabolic equation using a Carleman weight function
Michael V. Klibanov, Nikolaj A. Koshev, Jingzhi Li +1
This is the first publication in which an ill-posed Cauchy problem for a quasi- linear PDE is solved numerically by a rigorous method. More precisely, we solve the side Cauchy prob…