Quasilinear problems with singularities.
Quasilinear waves and trapping: Kerr-de Sitter space
In these notes, we will describe recent work on globally solving quasilinear wave equations in the presence of trapped rays, on Kerr-de Sitter space, and obtaining the asymptotic behavior of solutions. For the associated linear problem without trapping, one would consider a global, non-elliptic, Fredholm framework; in the presence of trapping the same framework is available for spaces of growing functions only. In order to solve the quasilinear problem we thus combine these frameworks with the normally...
Quasi-linearisation methods for a nonlinear heat equation with functional dependence.
Quasilinearization for some nonlocal problems.
Quasireversibility for inhomogeneous ill-posed problems in Hilbert spaces.
Quasireversibility methods for non-well-posed problems.
Quaternionic representation of the moving frame for surfaces in Euclidean three-space and Lax pair.
Quelques méthodes d'étude de la propagation d'oscillations hyperboliques non linéaires
Quenching semidiscretizations in time of a nonlocal parabolic problem with Neumann boundary condition.
Radial minimizers of a Ginzburg-Landau functional.
Radial solutions of a class of iterated partial differential equations
We give some expansion formulas and the Kelvin principle for solutions of a class of iterated equations of elliptic type
Radial type solutions for a class of third order equations and their iterates
Radial-type complete solutions for a class of partial differential equations
We give some fundamental solutions of a class of iterated elliptic equations including Laplace equation and its iterates.
Rate of approach to a singular steady state in quasilinear reaction-diffusion equations
Reaction diffusion equations and quadratic convergence.
Reaction-diffusion system of equations in non-stationary medium and arbitrary non-smooth domains.
Real and complex fundamental solutions. A way for unifying mathematical analysis.
Rectificatif à l'article intitulé «Régularité microlocale pour des problèmes de Dirichlet non linéaires non caractéristiques d'ordre deux à bord peu régulier»
Reducing real almost-linear second-order partial differential operators in two independent variables to a canonical form
Reflectionless boundary propagation formulas for partial wave solutions to the wave equation.