Quasi-periodic solutions for a nonlinear wave equation.
Quasi-periodic solutions of Hamiltonian PDEs
We overview recent existence results and techniques about KAM theory for PDEs.
Quasi-periodic solutions of nonlinear random Schrödinger equations
Quasi-periodic solutions of PDEs
The aim of this talk is to present some recent existence results about quasi-periodic solutions for PDEs like nonlinear wave and Schrödinger equations in , , and the - derivative wave equation. The proofs are based on both Nash-Moser implicit function theorems and KAM theory.
Quasi-periodic solutions with Sobolev regularity of NLS on with a multiplicative potential
We prove the existence of quasi-periodic solutions for Schrödinger equations with a multiplicative potential on , finitely differentiable nonlinearities, and tangential frequencies constrained along a pre-assigned direction. The solutions have only Sobolev regularity both in time and space. If the nonlinearity and the potential are then the solutions are . The proofs are based on an improved Nash-Moser iterative scheme, which assumes the weakest tame estimates for the inverse linearized operators...
Quasireverse Hölder inequalities and a priori estimates for strongly nonlinear systems
It is proved that a function can be estimated in the norm with a higher degree of summability if it satisfies some integral relations similar to the reverse Hölder inequalities (quasireverse Hölder inequalities). As an example, we apply this result to derive an a priori estimate of the Hölder norm for a solution of strongly nonlinear elliptic system.
Quasireversibility for inhomogeneous ill-posed problems in Hilbert spaces.
Quasireversibility methods for non-well-posed problems.
Quasisolenoidal Velocity-Pressure Finite Element Methods for the Three-Dimensional Stokes Problem.
Quasistatic frictional problems for elastic and viscoelastic materials
We consider two quasistatic problems which describe the frictional contact between a deformable body and an obstacle, the so-called foundation. In the first problem the body is assumed to have a viscoelastic behavior, while in the other it is assumed to be elastic. The frictional contact is modeled by a general velocity dependent dissipation functional. We derive weak formulations for the models and prove existence and uniqueness results. The proofs are based on the theory of evolution variational...
Quasistationary approximation in the rotating ring problem.
Quasi-symmetrization of hyperbolic systems and propagation of the analytic regularity
Dopo aver introdotto la nozione di quasi-simmetrizzatore per sistemi del prim'ordine debolmente iperbolici, si dimostra che ad ogni sistema di tipo Sylvester, cioè proveniente da un'equazione scalare di ordine superiore, si può associare in modo regolare un quasi-simmetrizzatore. Come applicazione di questo risultato si prova che, per qualunque sistema semi-lineare debolmente iperbolico, le soluzioni Gevrey in x di ordine restano analitiche non appena lo siano all'istante iniziale.
Quaternion quantum theory as a description of tachyons and the symmetry breaking
Quaternionic representation of the moving frame for surfaces in Euclidean three-space and Lax pair.
Quelques critères pour l’inégalité de Poincaré dans ,
Quelques limites singulières oscillantes
Quelques lois de conservations issues de modèles cinétiques
Quelques méthodes d'étude de la propagation d'oscillations hyperboliques non linéaires
Quelques propriétés de l’opérateur de Schrödinger
Quelques propriétés de solutions d'équations et d'inéquations d'évolution paraboliques non linéaires