This book collects some basic results on the null controllability for degenerate and singular
parabolic problems. It aims to provide postgraduate students and senior researchers with a …

We establish Carleman estimates for singular/degenerate parabolic Dirichlet problems with
degeneracy and singularity occurring in the interior of the spatial domain. Our results are …

Samarskii-Ionkin type problems are known classes of problems that represent a
generalization of classical ones. At the same time they are obtained in a natural way by …

We deal with an optimal control problem in coefficients for a strongly degenerate diffusion
equation with interior degeneracy, which is due to the nonnegative diffusion coefficient …

This paper is devoted to the determination of the initial data in a one-dimensional
degenerate and singular wave equation with degeneracy and singularity occurring at the …

The morphodynamic evolution of the shape of dunes and piles of granular material is largely
dictated by avalanching phenomena, acting when the local slope gets steeper than a critical …

This paper is devoted to numerical analysis of an inverse source problem in a degenerate
parabolic equation. The aims of this work are to show the well-posedness of the discrete …

We study an identification problem associated with a strongly degenerate parabolic
evolution equation of the type y_ t-Ay= f (t, x),\quad (t, x) ∈ Q:=(0, T) * (0, L) equipped with …

This work is concerned with the obtainment of new Carleman estimates for linear parabolic
equations, where the second-order differential operator brings a super strong degeneracy in …

We consider a differential operator of order 2n of the type A< sub> nu=(− 1)< sup> n(au<
sup>(n))< sup>(n), where a (x) &gt; 0 in [0, 1]∖{x< sub> 0} and a (x< sub> 0)= 0. We show …