Morrey estimates for parabolic nondivergence operators of Hörmander type

We shall prove that, in a locally path connected and Q-Ahlfors regular Loewner space, a bounded quasiextremal distance domain is locally connected and weakly quasiconformal

Keywords: Parabolic operator; Semi-discrete Carleman estimates; Observability; Null controllability; Semi-linear

— If an element p of a Weyl group leaves a set E pointwise fixed, then p is the product of root reflections each leaving E pointmse fixed.. With the aid of Lemma 13, the

Assuming the initial condition to be a density function, not necessar- ily smooth, but solely of bounded first moments and finite “entropy”, we use a variational scheme to

MKRTYCHYAN, An estimate of the solution gradient and the classical solvability of the first initial-boundary value problem for a class of quasilinear

Local and global Carleman estimates play a central role in the study of some partial differential equations regarding questions such as unique continuation and controllability..

In this paper we consider the initial boundary value problem of a parabolic-elliptic system for image inpainting, and establish the existence and uniqueness of weak solutions to

From the relaxed observability estimate given above we obtain a h-null controllability result for the linear operator P M.. The equation is linearized yielding a bounded potential and