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
Penrose transform and monogenic sections
The Penrose transform gives an isomorphism between the kernel of the -Dirac operator over an affine subset and the third sheaf cohomology group on the twistor space. In the paper we give an integral formula which realizes the isomorphism and decompose the kernel as a module of the Levi factor of the parabolic subgroup. This gives a new insight into the structure of the kernel of the operator.
Periodic solutions of asymptotically linear systems without symmetry
Periodic solutions of partial differential equations with hysteresis
Periodic solutions to linear partial differential equations of the first order
Perona-Malik equation: properties of explicit finite volume scheme
The Perona–Malik nonlinear parabolic problem, which is widely used in image processing, is investigated in this paper from the numerical point of view. An explicit finite volume numerical scheme for this problem is presented and consistency property is proved.
Persistence of solutions to nonlinear evolution equations in weighted Sobolev spaces.
Perturbation and energy estimates
Perturbations near resonance for the -Laplacian in .