We prove space-time parabolic Besov regularity in terms of integrability of Besov norms in the space variable for solutions of the heat equation on cylindrical regions based on Lipschitz domains.

This thesis aims to apply techniques of variational analysis to two different subjects: the first one being probability functions and the second one, a particular nonconvexity measure called effective standard deviation. We ...

In this manuscript we deal with regularity issues and the asymptotic behaviour (as p → ∞) of solutions for elliptic free boundary problems of p−Laplacian type (2 ≤ p < ∞): −pu(x) + λ0(x)χ{u>0}(x) = 0 in ⊂ RN , with a ...

We prove sharp regularity estimates for viscosity solutions of fully nonlinear parabolic equations of the form (Formula Presented.)where F is elliptic with respect to the Hessian argument and f∈ Lp , q(Q1). The quantity ...

In this proposal we present an alternative point of view for the mathematical treatment of a linearly damped p-system through a variant of the vanishing viscosity method and the use of the theory of compensated compactness. ...

In this paper we obtain regularity results for elliptic integro-differential equations driven by the stronger effect of coercive gradient terms. This feature allows us to construct suitable strict supersolutions from ...

This paper is dedicated to estimate the fractal dimension of exponential global attractors of some generalized gradient-like semigroups in a general Banach space in terms of the maximum of the dimension of the local unstable ...

We prove a mean value formula for weak solutions of div(|y| agradu) = 0 in Rn+1 = {(x, y) : x ∈ Rn, y ∈ R}, −1 < a < 1, and balls centered at points of the form (x, 0). We obtain an explicit nonlocal kernel for the mean ...

In this paper, we study the well-posedness (in the sense of existence and uniqueness of a solution) of a discontinuous sweeping process involving prox-regular sets in Hilbert spaces. The variation of the moving set is ...