A diffusion problem with gradient constraint and evolutive Dirichlet condition
A final value problem for heat equation: regularization by truncation method and new error estimates.
A simple regularization method for the ill-posed evolution equation
The nonhomogeneous backward Cauchy problem , where is a positive self-adjoint unbounded operator which has continuous spectrum and is a given function being given is regularized by the well-posed problem. New error estimates of the regularized solution are obtained. This work extends earlier results by N. Boussetila and by M. Denche and S. Djezzar.
Application of Rothe's method to parabolic variational inequalities
Controllability, penalty and stiffness
Das Lemma von Max Müller-Nagumo-Westphal für stark gekoppelte Systeme parabolischer Funktional-Differentialgleichungen.
Difference schemes for pluriparabolic equations.
Different approaches to stochastic parabolic differential equations
Differential operators with non dense domain
Differential-functional inequalities of parabolic type in unbounded regions
Ergodic behaviour of stochastic parabolic equations
The ergodic behaviour of homogeneous strong Feller irreducible Markov processes in Banach spaces is studied; in particular, existence and uniqueness of finite and -finite invariant measures are considered. The results obtained are applied to solutions of stochastic parabolic equations.
Familles de convexes invariantes et équations de diffusion-réaction
Pour localiser la solution d’un système de diffusion-réaction, il suffit de construire une famille de convexes , invariante par rapport au champ de vecteurs associé à ce système; la solution est alors incluse dans à l’instant dès qu’elle est contenue dans à l’instant zéro. Les fonctions d’appui associées à de telles familles de convexes sont solutions d’un système différentiel, mais celui-ci peut également engendrer des familles non invariantes.
Finite element methods for the transport equation
Formulation and Analysis of a Parabolic Transmission Problem on Disjoint Intervals
Function classes pertaining to differential inequalities of parabolic type in unbounded regions
High-order compact implicit difference methods for parabolic equations in geodynamo simulation.
Homogenization of parabolic equations an alternative approach and some corrector-type results
We extend and complete some quite recent results by Nguetseng [Ngu1] and Allaire [All3] concerning two-scale convergence. In particular, a compactness result for a certain class of parameterdependent functions is proved and applied to perform an alternative homogenization procedure for linear parabolic equations with coefficients oscillating in both their space and time variables. For different speeds of oscillation in the time variable, this results in three cases. Further, we prove some corrector-type...
Integral manifold of the parabolic differential equation with deviating argument
Maximum Principle and Its Application for the Time-Fractional Diffusion Equations
MSC 2010: 26A33, 33E12, 35B45, 35B50, 35K99, 45K05 Dedicated to Professor Rudolf Gorenflo on the occasion of his 80th anniversaryIn the paper, maximum principle for the generalized time-fractional diffusion equations including the multi-term diffusion equation and the diffusion equation of distributed order is formulated and discussed. In these equations, the time-fractional derivative is defined in the Caputo sense. In contrast to the Riemann-Liouville fractional derivative, the Caputo fractional...
Méthode de décomposition pour un problème unilatéral de type parabole