Strongly nonlinear degenerated unilateral problems with data.
Subharmonic functions in sub-Riemannian settings
In this paper we furnish mean value characterizations for subharmonic functions related to linear second order partial differential operators with nonnegative characteristic form, possessing a well-behaved fundamental solution . These characterizations are based on suitable average operators on the level sets of . Asymptotic characterizations are also considered, extending classical results of Blaschke, Privaloff, Radó, Beckenbach, Reade and Saks. We analyze as well the notion of subharmonic function...
Sul comportamento asintotico della soluzione di un problema di radiazione
Sur des estimations des valeurs propres d'opérateurs elliptiques
Sur le comportement semi-classique de l'amplitude de diffusion d'un hamiltonien quantique
Sur l’opérateur
The Calderón Projector for an Elliptic Operator in Divergence Form.
The Calderón-Zygmund theorem and parabolic equations in -spaces
A Banach-space version of the Calderón-Zygmund theorem is presented and applied to obtaining apriori estimates for solutions of second-order parabolic equations in -spaces.
The Dirichlet problem for elliptic equations with drift terms.
We establish absolute continuity of the elliptic measure associated to certain second order elliptic equations in either divergence or nondivergence form, with drift terms, under minimal smoothness assumptions on the coefficients.
The Dirichlet problem in the dispersion of gas exhalations over a wet hilly surface
The domain of the Ornstein-Uhlenbeck operator on an -space with invariant measure
We show that the domain of the Ornstein-Uhlenbeck operator on
The first eigenvalue of -Laplacian systems with nonlinear boundary conditions.
The Generalized Ahlfors-Heins Theorem in Certain d-Dimensional Cones.
The Green Function for Uniformly Elliptic Equations.
The index of isolated critical points and solutions of elliptic equations in the plane
The Scattering of Classical Waves from Inhomogeneous media.
The solution of Kato's conjecture (after Auscher, Hofmann, Lacey, McIntosh and Tchamitchian)
Kato’s conjecture, stating that the domain of the square root of any accretive operator with bounded measurable coefficients in is the Sobolev space , i.e. the domain of the underlying sesquilinear form, has recently been obtained by Auscher, Hofmann, Lacey, McIntosh and the author. These notes present the result and explain the strategy of proof.
The spectral distribution of a globally elliptic operator
Theoretical foundation of the weighted Laplace inpainting problem
Laplace interpolation is a popular approach in image inpainting using partial differential equations. The classic approach considers the Laplace equation with mixed boundary conditions. Recently a more general formulation has been proposed, where the differential operator consists of a point-wise convex combination of the Laplacian and the known image data. We provide the first detailed analysis on existence and uniqueness of solutions for the arising mixed boundary value problem. Our approach considers...
To the inversion of Gårding theorem