We consider a boundary value problem with conditions involving the tangential part of vector normal derivatives solution. establish existence weak show that trace derivative on can be understood in certain sense (the lemma) and, as consequence, prove generalized solution and connection between solutions to problem.

Let X ⊂ P r be an integral and non-degenerate variety. σ a , b ( ) ⊆ ∈ N 2 the join of copies tangential variety . Using classical Alexander-Hirschowitz theorem (case = 0 recent paper by H. Abo N. Vannieuwenhoven we compute dim ⁡ in many cases when is d -Veronese embedding n This related to certain additive decompositions homogeneous polynomials. We give general proving that expected one Y × 1 ...

A new version of the alternating directions implicit (ADI) iteration for the solution of large-scale Lyapunov equations is introduced. It generalizes the hitherto existing iteration, by incorporating tangential directions in the way they are already available for rational Krylov subspaces. Additionally, first strategies to adaptively select shifts and tangential directions in each iteration are...

In this paper we are going to get the non tangential convergence, in an appropriated parabolic “gaussian cone”, of the Ornstein-Uhlenbeck semigroup in providing two proofs of this fact. One is a direct proof by using the truncated non tangential maximal function associated. The second one is obtained by using a general statement. This second proof also allows us to get a similar result for the ...

The reversibility of wood shrinkage through swelling of birch (Betula pubescens) and Scots pine (Pinus sylvestris L.) as a measure of their response to changing conditions of adsorption and desorption during service was determined. Virtually all dimensional changes that occurred in the form of shrinkage during drying at both conventional and high temperatures were recovered during swelling in b...