In this paper we are concerned with the Hölder regularity of weak solutions of the Cauchy problem for the general degenerate parabolic equations in (1). By using the vanishing viscosity method and the maximun principle some explicit Hölder exponent …
We consider a class of endomorphisms which contains a set of piecewise partially hyperbolic skew-products with a non-uniformly expanding base map. The aimed transformation preserves a foliation which is almost everywhere uniformly contracted with …
In this paper we prove that if E and F are reflexive Banach spaces and G is a closed linear subspace of the space 𝐾(𝐸;𝐹) of all compact linear operators from E into F, then G is either reflexive or non-isomorphic to a dual space. This result …
In this paper we consider the Cauchy problem for a particular non-symmetric Keyfitz-Kranzer type system, by using the vanishing viscosity method coupled with the compensated compactness method we get global bounded entropy weak solutions. The main …
We present many examples of Banach spaces of linear operators and homogeneous polynomials without the approximation property, improving results of Dineen and Mujica (Czechoslovak Math. J. 65(140): 367–374, 2015) and Godefroy and Saphar (Proc Am Math …
In this paper, we introduce the survival modelling methodology in order to identify some factors which may be influencing the university dropout. By using the data base provided by the Fundación Universidad Autónoma de Colombia and the semi …
We study the one-dimensional Riemann problem for a hyperbolic system of three conservation laws of Temple class. The system is a simplification of a recently proposed system of five conservations laws by Bouchut and Boyaval that models viscoelastic …
We consider the Cauchy problem for a class of nonlinear degenerate parabolic equation with forcing. By using the vanishing viscosity method it is possible to construct a generalized solution. Moreover, this solution is a Lipschitz function on the …
El estudio del fenómeno de tsunami ha sido de gran interés, especialmente en la última decada. La utilización de modelos matemáticos para simular los efectos de tsunami en oceanos y costas ha sido posible, al punto de calcular con gran detalle y …