Analysis of the self-similar solutions of a generalized Burgers equation with nonlinear damping.
Analysis of total variation flow and its finite element approximations
We study the gradient flow for the total variation functional, which arises in image processing and geometric applications. We propose a variational inequality weak formulation for the gradient flow, and establish well-posedness of the problem by the energy method. The main idea of our approach is to exploit the relationship between the regularized gradient flow (characterized by a small positive parameter , and the minimal surface flow [21] and the prescribed mean curvature flow [16]. Since our...
Analysis of total variation flow and its finite element approximations
We study the gradient flow for the total variation functional, which arises in image processing and geometric applications. We propose a variational inequality weak formulation for the gradient flow, and establish well-posedness of the problem by the energy method. The main idea of our approach is to exploit the relationship between the regularized gradient flow (characterized by a small positive parameter ε, see (1.7)) and the minimal surface flow [21] and the prescribed mean curvature flow [16]. Since...
Analysis of two-dimensional FETI-DP preconditioners by the standard additive Schwarz framework.
Analysis over infinite dimensional spaces and applications to quantum field theory
Analysis tools for finite volume schemes
Analytic and Geometric Logarithmic Sobolev Inequalities
We survey analytic and geometric proofs of classical logarithmic Sobolev inequalities for Gaussian and more general strictly log-concave probability measures. Developments of the last decade link the two approaches through heat kernel and Hamilton-Jacobi equations, inequalities in convex geometry and mass transportation.
Analytic and Gevrey Hypoellipticity
Analytic approach to systems in potential models.
Analytic approximation for homogeneous solutions of linear PDE's
Analytic aspects of quasiconformality.
Analytic continuation of fundamental solutions to differential equations with constant coefficients
If is a polynomial in such that integrable, then the inverse Fourier transform of is a fundamental solution to the differential operator . The purpose of the article is to study the dependence of this fundamental solution on the polynomial . For it is shown that can be analytically continued to a Riemann space over the set of all polynomials of the same degree as . The singularities of this extension are studied.
Analytic controllability of the wave equation over a cylinder
Analytic controllability of the wave equation over a cylinder
We analyze the controllability of the wave equation on a cylinder when the control acts on the boundary, that does not satisfy the classical geometric control condition. We obtain precise estimates on the analyticity of reachable functions. As the control time increases, the degree of analyticity that is required for a function to be reachable decreases as an inverse power of time. We conclude that any analytic function can be reached if that control time is large enough. In the C∞ class, a...
Analytic convexity
Analytic Cycles and Vector Bundles on Non-Compact Algebraic Varieties.
Analytic First Integrals of Ordinary Differential Equations
Analytic geometry on compacta in Cn.
Analytic hypoellipticity and local solvability for a class of pseudo-differential operators with symplectic characteristics
Analytic Hypo-Ellipticity and Propagation of Regularity for a System of Microdifferential Equations with Non-Involutory Characteristics.