We propose the analogues of boundary layer potentials for the sub-Laplacian on
homogeneous Carnot groups/stratified Lie groups and prove continuity results for them. In …

INITIAL-BOUNDARY VALUE PROBLEMS FOR THE WAVE EQUATION 1. Introduction In Ω =
(0, 1) consider the one-dimensional potential u(x Page 1 Electronic Journal of Differential …

In this note we prove that the ball is a maximiser for integer order Schatten p-norms of the
Riesz potential operators among all domains of a given measure in R d. In particular, the …

In this note we construct an integral boundary condition for the Kohn Laplacian in a given
domain on the Heisenberg group extending to the setting of the Heisenberg group M. Kac's …

ON A NONLOCAL BOUNDARY VALUE PROBLEM FOR THE MULTIDIMENSIONAL HEAT
EQUATION IN A NONCYLINDRICAL DOMAIN Page 1 Siberian Mathematical Journal, Vol …

In this paper we develop an artificial initial boundary value problem for the high-order heat
equation in a bounded domain $\Omega $. It is found an unique classical solution of this …

Integral operators of the form L_K^-1 f (x)= ∫\limits_ Ω K (x, t) f (t) dt for the case of a finite
domain Ω⊂ R n with smooth boundary∂ Ω are considered. Conditions on the real kernel K …

This book is an attempt to collect a number of properties emerging in recent research
describing certain features of the theory of partial differential equations that can be attributed …

In this paper, we consider a Samarskii-Ionkin type boundary value problem for the Poisson
equation in the disk and prove its well-posedness. The possibility of separation of variables …

On a boundary value problem for the biharmonic equation КОРЗИНА ПОИСК НАВИГАТОР
ЖУРНАЛЫ КНИГИ ПАТЕНТЫ ПОИСК АВТОРЫ ОРГАНИЗАЦИИ КЛЮЧЕВЫЕ СЛОВА …