Kolmogorov Equations and Weak Order Analysis for SPDES with Nonlinear Diffusion Coefficient

Carleman estimates for degenerate parabolic operators with applications to null controllability.. Uniqueness and nonuniqueness of the cauchy prob- lem for hyperbolic operators

We provide here some sharp Schauder estimates for degenerate PDEs of Kolmogorov type when the coefficients lie in some suitable anisotropic H¨ older spaces and the first order term

The strong normalization of a typed λµ-calculus can be deduced from the one of the corresponding typed λ-calculus by using CPS translations. See, for example, [14] for such

In this section we study the Hausdorff dimension of the blow-up points of the solutions of (1.1). The derivation of the necessary estimates remains close to the strategy described

We provide here global Schauder-type estimates for a chain of integro-partial differential equations (IPDE) driven by a degenerate stable Ornstein-Uhlenbeck operator possibly

The article is organized as follows. We state our assumptions and main results in Section 2. We then introduce in Section 3 the degenerate Gaussian kernel for which we establish

The concept of principal eigenvalue for boundary value problems of elliptic operators has been extended, in the last decades, to quasi-nonlinear and fully- nonlinear equations

Vladut in [15] have proved C 2 regularity of radial solutions for a more general class of fully nonlinear operators uniformly elliptic.. In particular for N ≤ 3 the solutions are C