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Mostrando ítems 1-10 de 35
Artículo
Generalized surface quasi-geostrophic equations with singular velocities
(Wiley, 2012)
This paper establishes several existence and uniqueness results for two families of active scalar equations with velocity fields determined by the scalars through very singular integrals. The first family is a generalized ...
Artículo
Spectral methods for bivariate Markov processes with diffusion and discrete components and a variant of the Wright-Fisher model
(Elsevier, 2012-09-01)
The aim of this paper is to study differential and spectral properties of the infinitesimal operator of two dimensional Markov processes with diffusion and discrete components. The infinitesimal operator is now a second-order ...
Artículo
On the orthogonality of q-classical polynomials of the Hahn class
(2012)
The central idea behind this review article is to discuss in a unified sense the orthogonality of all possible polynomial solutions of the q-hypergeometric dif ference equation on a q-linear lattice by means of a qualitative ...
Artículo
The Hardy-Littlewood maximal type operators between Banach function spaces
(Indiana University, 2012)
We investigate variants of the maximal operator and show their applications to study boundedness of the classical Hardy-Littlewood maximal operator between weighted Banach function spaces which satisfy certain geometrical ...
Artículo
Some generalizations of Kannan's fixed point theorem in K-metric spaces
(Casa Cărţii de Ştiinţă Cluj-Napoca, 2012)
We extend some known fixed point results for mappings satisfying Kannan type conditions to the context of K-metric spaces. Firstly, we prove a common fixed point result for noncommuting maps. A generalization of Kannan’s ...
Artículo
Splash singularity for water waves
(National Academy of Sciences, 2012-01-17)
We exhibit smooth initial data for the two-dimensional (2D) waterwave equation for which we prove that smoothness of the interface breaks down in finite time. Moreover, we show a stability result together with numerical ...
Artículo
Mutually nearest and farthest points of sets and the Drop Theorem in geodesic spaces
(Springer, 2012-02)
Let A and X be nonempty, bounded and closed subsets of a geodesic metric space (E, d). The minimization (resp. maximization) problem denoted by min(A, X) (resp. max(A, X)) consists in finding (a0,x0)∈A×X(a0,x0)∈A×X such ...
Ponencia
Artículo
On a singular incompressible porous media equation
(AIP Publishing, 2012-11)
This paper considers a family of active scalar equations with transport velocities which are more singular by a derivative of order β than the active scalar. We prove that the equations with 0 < β ≤ 2 are Lipschitz ill-posed ...
Ponencia