Équations d'évolution avec non linéarité logarithmique
États liés de potentiels bisphériques et toroïdaux
Finite symmetric trilinear integral transform of distributions. II.
Fourier approach to homogenization problems
This article is divided into two chapters. The classical problem of homogenization of elliptic operators with periodically oscillating coefficients is revisited in the first chapter. Following a Fourier approach, we discuss some of the basic issues of the subject: main convergence theorem, Bloch approximation, estimates on second order derivatives, correctors for the medium, and so on. The second chapter is devoted to the discussion of some non-classical behaviour of vibration problems of periodic...
Fourier approach to homogenization problems
This article is divided into two chapters. The classical problem of homogenization of elliptic operators with periodically oscillating coefficients is revisited in the first chapter. Following a Fourier approach, we discuss some of the basic issues of the subject: main convergence theorem, Bloch approximation, estimates on second order derivatives, correctors for the medium, and so on. The second chapter is devoted to the discussion of some non-classical behaviour of vibration problems of periodic...
Fourier-like methods for equations with separable variables
It is well known that a power of a right invertible operator is again right invertible, as well as a polynomial in a right invertible operator under appropriate assumptions. However, a linear combination of right invertible operators (in particular, their sum and/or difference) in general is not right invertible. It will be shown how to solve equations with linear combinations of right invertible operators in commutative algebras using properties of logarithmic and antilogarithmic mappings. The...
Global Regular Solutions for the Dynamic Antiplane Shear Problem in Nonlinear Viscoelasticity.
Global self-similar solutions of a class of nonlinear Schrödinger equations.
Homotopy perturbation method for solving reaction-diffusion equations.
Infinitesimal rigidity of surfaces in
Integral equations and boundary value problems for eliptic partial differential equations
Integralrelationen mit variablen Grenzen für spezielle Funktionen der mathematischen Physik.
Legendre and Chebyshev Spectral Approximations of Burger's Equation.
Monotone operators. A survey directed to applications to differential equations
The paper deals with the existence of solutions of the form with operators monotone in a broader sense, including pseudomonotone operators and operators satisfying conditions and . The first part of the paper which has a methodical character is concluded by the proof of an existence theorem for the equation on a reflexive separable Banach space with a bounded demicontinuous coercive operator satisfying condition . The second part which has a character of a survey compares various types of...
Moyennisation des champs de vecteurs et ÉDP
New exact solutions of the Brusselator reaction diffusion model using the exp-function method.
Note on the solution of transport equation by Tau method and Walsh functions.
On a problem of lower limit in the study of nonresonance.
On a Variant of the Gagliardo-Nirenberg Inequality Deduced from the Hardy Inequality
We obtain new variants of weighted Gagliardo-Nirenberg interpolation inequalities in Orlicz spaces, as a consequence of weighted Hardy-type inequalities. The weights we consider need not be doubling.
On Liouville theorems, continuity and Hölder continuity of weak solutions to some quasilinear elliptic systems