Now showing items 1-3 of 3
A survey for the Muskat problem and a new estimate [Article]
This paper shows a summary of mathematical results about the Muskat problem. The main concern is well-posed scenarios which include the possible formation of singularities in finite time or existence of solutions for all ...
The algebraic size of the family of injective operators [Article]
(De Gruyter Open, 2017-01)
In this paper, a criterion for the existence of large linear algebras consisting, except for zero, of one-to-one operators on an infinite dimensional Banach space is provided. As a consequence, it is shown that every ...
The ε-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors [Article]
(American Institute of Mathematical Sciences, 2017-09)
We prove an estimation of the Kolmogorov ε-entropy in H of the unitary ball in the space V, where H is a Hilbert space and V is a Sobolev-like subspace of H. Then, by means of Zelik’s result, an estimate of the fractal ...