Opérateurs intégraux de Fourier sans phases
Operational Methods in the Environment of a Computer Algebra System
This article presents the principal results of the doctoral thesis “Direct Operational Methods in the Environment of a Computer Algebra System” by Margarita Spiridonova (Institute of mathematics and Informatics, BAS), successfully defended before the Specialised Academic Council for Informatics and Mathematical Modelling on 23 March, 2009.The presented research is related to the operational calculus approach and its representative applications. Operational methods are considered, as well as their...
Operator equations, separation of variables and relativistic alterations.
Operator gauge symmetry in QED.
Optimal -properties of Green’s functions for non-divergence elliptic equations in two dimensions
A sharp integrability result for non-negative adjoint solutions to planar non-divergence elliptic equations is proved. A uniform estimate is also given for the Green's function.
Orbital stability for polytropic galaxies
Original title unknown
Oscillation of solutions for forced nonlinear neutral hyperbolic equations with functional arguments.
Parabolic partial differential equations with memory
Parabolic q-Minima and minimal solutions to variational flow.
Parameter shifting and complete families of solutions to a singular parabolic equation
Parametrices for a class of P.D. operators and applications
Paramétrix 2-microlocales de la diffraction
Paramétrix du problème de Cauchy pour un système faiblement hyperbolique à caractéristiques multiples
Paramétrix et propagation des singularités pour un problème de Cauchy à multiplicité variable
Paramétrixe et propagation des singularités pour des opérateurs à caractéristiques non involutives
Parareal operator splitting techniques for multi-scale reaction waves: Numerical analysis and strategies
In this paper, we investigate the coupling between operator splitting techniques and a time parallelization scheme, the parareal algorithm, as a numerical strategy for the simulation of reaction-diffusion equations modelling multi-scale reaction waves. This type of problems induces peculiar difficulties and potentially large stiffness which stem from the broad spectrum of temporal scales in the nonlinear chemical source term as well as from the presence of large spatial gradients in the reactive...
Parareal operator splitting techniques for multi-scale reaction waves: Numerical analysis and strategies
In this paper, we investigate the coupling between operator splitting techniques and a time parallelization scheme, the parareal algorithm, as a numerical strategy for the simulation of reaction-diffusion equations modelling multi-scale reaction waves. This type of problems induces peculiar difficulties and potentially large stiffness which stem from the broad spectrum of temporal scales in the nonlinear chemical source term as well as from the presence of large spatial gradients in the reactive...
Partial regularity results for vector valued functions which minimize certain functionals having non quadratic growth under smooth side conditions.
Passage à la limite faible dans des équations aux dérivées partielles non linéaires