Biharmonic maps on V-manifolds.
Blowup in nonlinear parabolic equations
Boundary Behaviour of Dirchlet Eigenfunctions of Second Order Elliptic Operators.
Bounded solutions of abstract equations.
Boundedness of global solutions for the heat equation with nonlinear boundary conditions
Calculation of some integrals arising in heat transfer in grinding.
Caloric measure and Reifenberg flatness.
Caloric measure on domains bounded by Weierstrass-type graphs.
Caractérisation d'un espace fonctionnel intervenant en contrôle optimal
Central local discontinuous galerkin methods on overlapping cells for diffusion equations
In this paper we present two versions of the central local discontinuous Galerkin (LDG) method on overlapping cells for solving diffusion equations, and provide their stability analysis and error estimates for the linear heat equation. A comparison between the traditional LDG method on a single mesh and the two versions of the central LDG method on overlapping cells is also made. Numerical experiments are provided to validate the quantitative conclusions from the analysis and to support conclusions...
Central local discontinuous galerkin methods on overlapping cells for diffusion equations
In this paper we present two versions of the central local discontinuous Galerkin (LDG) method on overlapping cells for solving diffusion equations, and provide their stability analysis and error estimates for the linear heat equation. A comparison between the traditional LDG method on a single mesh and the two versions of the central LDG method on overlapping cells is also made. Numerical experiments are provided to validate the quantitative conclusions from the analysis and to support conclusions...
Characterization of sets of determination for parabolic functions on a slab by coparabolic (minimal) thinness
Let be a positive number or . We characterize all subsets of such that for every positive parabolic function on in terms of coparabolic (minimal) thinness of the set , where and is the “heat ball” with the “center” and radius . Examples of different types of sets which can be used instead of “heat balls” are given. It is proved that (i) is equivalent to the condition for every bounded parabolic function on and hence to all equivalent conditions given in the article [7]....
Classical boundary value problems for integrable temperatures in a domain
Abstract. We study a Neumann problem for the heat equation in a cylindrical domain with -base and data in , a subspace of 1. We derive our results, considering the action of an adjoint operator on , a predual of , and using known properties of this last space.
Classical solutions of parabolic equations in Hölder spaces
Sono dati nuovi teoremi di esistenza per soluzioni regolari di equazioni di evoluzione paraboliche astratte con applicazioni all'equazione del calore in spazi di funzioni holderiane e alle equazioni semilineari.
Classical solutions of the two-phase Stefan-type problem
Computational design optimization of low-energy buildings
European directives and related national technical standards force the substantial reduction of energy consumption of all types of buildings. This can be done thanks to the massive insulation and the improvement of quality of building enclosures, using the simple evaluation assuming the one-dimensional stationary heat conduction. However, recent applications of advanced materials, structures and technologies force the proper physical, mathematical and computational analysis coming from the thermodynamic...
Concerning Cesari's theorems
Conservation de la positivité lors de la discrétisation des problèmes d'évolution paraboliques
Continuous dependence on modeling for some well-posed perturbations of the backward heat equation.
Contribution à la résolution numérique des équations de Laplace et de la chaleur