Noyau de diffusion sur les espaces homogènes compacts
On a class of parabolic integro-differential equations.
On a Class of Unilateral Evolution Problems.
On a micro-macro system arising in diffusion-reaction problems in porous media
On a semi-variational method for parabolic equations. I
On an initial inverse problem in nonlinear heat equation associated with time-dependent coefficient
In this paper, a nonlinear backward heat problem with time-dependent coefficient in the unbounded domain is investigated. A modified regularization method is established to solve it. New error estimates for the regularized solution are given under some assumptions on the exact solution.
On singular non-linear parabolic differential inequalities in unbounded domains
On the asymptotic behavior of solutions of parabolic equations
On the Hölder-continuity of solutions of a nonlinear parabolic variational inequality
Opérateurs Paraboliques Dans Le Calcul Opérationnel Des Distributions A Support Dans Rn+ n ≥ 1
Parabolic equations with multiple singularities
Parabolic potentials and wavelet transforms with the generalized translation
Parabolic wavelet transforms associated with the singular heat operators and , where , are introduced. These transforms are defined in terms of the relevant generalized translation operator. An analogue of the Calderón reproducing formula is established. New inversion formulas are obtained for generalized parabolic potentials representing negative powers of the singular heat operators.
Poznámka k aplikacím Laplaceovy transformace na abstraktní diferenciální rovnice parabolického typu
Principe d'extremum relatif aux solutions de l'équation intégro-différentielle du processus stochastique markovien mixte
Regularity problem for one class of nonlinear parabolic systems with non-smooth in time principal matrices
Partial regularity of solutions to a class of second order nonlinear parabolic systems with non-smooth in time principal matrices is proved in the paper. The coefficients are assumed to be measurable and bounded in the time variable and VMO-smooth in the space variables uniformly with respect to time. To prove the result, we apply the so-called -caloric approximation method. The method was applied by the authors earlier to study regularity of quasilinear systems.
Regularization and new error estimates for a modified Helmholtz equation.
Saddle-point problems in partial differential equations and applications to linear quadratic differential games
Solutions statistiques homogènes des systèmes différentiels paraboliques et du système de Navier-Stokes
Sous-solutions pour un problème unilatéral d'évolution : caractérisation et régularité
Stefan problem in a 2D case
The aim of this paper is to analyze the well posedness of the one-phase quasi-stationary Stefan problem with the Gibbs-Thomson correction in a two-dimensional domain which is a perturbation of the half plane. We show the existence of a unique regular solution for an arbitrary time interval, under suitable smallness assumptions on initial data. The existence is shown in the Besov-Slobodetskiĭ class with sharp regularity in the L₂-framework.