Some properties of a generalized heat potential (Preliminary communication)
Some recent results on blow-up on the boundary for the heat equation
Some remarks on gradient estimates for heat kernels.
Spectral element discretization of the heat equation with variable diffusion coefficient
We are interested in the discretization of the heat equation with a diffusion coefficient depending on the space and time variables. The discretization relies on a spectral element method with respect to the space variables and Euler's implicit scheme with respect to the time variable. A detailed numerical analysis leads to optimal a priori error estimates.
Square functions of Calderón type and applications.
We establish L2 and Lp bounds for a class of square functions which arises in the study of singular integrals and boundary value problems in non-smooth domains. As an application, we present a simplified treatment of a class of parabolic smoothing operators which includes the caloric single layer potential on the boundary of certain minimally smooth, non-cylindrical domains.
Stability of Lipschitz type in determination of initial heat distribution.
Stabilized quasi-reversibility method for a class of nonlinear ill-posed problems.
Stacionární teplotní pole v nekonečném válci při součiniteli přestupu tepla periodicky proměnném podél obvodu
Stark stetige Halbgruppen und Gruppen als Lösungen von Cauchy-Problemen in der Mathematischen Physik.
Steady state temperatures in a quarter plane.
Stochastic heat equation with white-noise drift
Su alcuni problemi di diffusione non lineare
Sul problema di Cauchy-Dirichlet per una classe di operatori parabolici a coefficienti discontinui
Sulla diffusione del calore in un conduttore irradiato
Sur deux théorèmes curieux signalés par M. Poincaré
Sur une équation différentielle abstraite à domaine variable; applications aux problèmes mixtes, du type Cauchy-mêlé, pour l'équation de la chaleur
Sur une famille bi-parométriques de schémas des différences finies pour l'équation parabolique sans dérivées mixtes
Surface temperature determination from borehole measurements: Regularization and error estimates.
Switching control
We analyze the problem of switching controls for control systems endowed with different actuators. The goal is to control the dynamics of the system by switching from an actuator to the other in a systematic way so that, in each instant of time, only one actuator is active. We first address a finite-dimensional model and show that, under suitable rank conditions, switching control strategies exist and can be built in a systematic way. To do this we introduce a new variational principle building...
Systems of multi-dimensional Laplace transforms and a heat equation.