Asymptotics for critical nonconvective type equations.
Asymptotics of the integrated density of states for periodic elliptic pseudo-differential operators in dimension one.
We consider a periodic pseudo-differential operator on the real line, which is a lower-order perturbation of an elliptic operator with a homogeneous symbol and constant coefficients. It is proved that the density of states of such an operator admits a complete asymptotic expansion at large energies. A few first terms of this expansion are found in a closed form.
Asymptotique de la phase de diffusion à haute énergie pour l'opérateur de Dirac
Asymptotique des largeurs de résonances pour un modèle d'effet tunnel microlocal
Banach algebras of pseudodifferential operators and their almost diagonalization
We define new symbol classes for pseudodifferential operators and investigate their pseudodifferential calculus. The symbol classes are parametrized by commutative convolution algebras. To every solid convolution algebra over a lattice we associate a symbol class . Then every operator with a symbol in is almost diagonal with respect to special wave packets (coherent states or Gabor frames), and the rate of almost diagonalization is described precisely by the underlying convolution algebra...
Basic boundary value problems of thermoelasticity for anisotropic bodies with cuts. I.
Basic boundary value problems of thermoelasticity for anisotropic bodies with cuts. II.
B-Functions and Holonomic Systems. Rationality of Roots of B-Functions
Boundary value problems and layer potentials on manifolds with cylindrical ends
We study the method of layer potentials for manifolds with boundary and cylindrical ends. The fact that the boundary is non-compact prevents us from using the standard characterization of Fredholm or compact pseudo-differential operators between Sobolev spaces, as, for example, in the works of Fabes-Jodeit-Lewis and Kral-Wedland . We first study the layer potentials depending on a parameter on compact manifolds. This then yields the invertibility of the relevant boundary integral operators in the...
Boundary value problems for the nonstationary Navier-Stokes equations treated by pseudo-differential methods.
Boundedness of Fourier integral operators on Fourier Lebesgue spaces and affine fibrations
We study Fourier integral operators of Hörmander’s type acting on the spaces , 1 ≤ p ≤ ∞, of compactly supported distributions whose Fourier transform is in . We show that the sharp loss of derivatives for such an operator to be bounded on these spaces is related to the rank r of the Hessian of the phase Φ(x,η) with respect to the space variables x. Indeed, we show that operators of order m = -r|1/2-1/p| are bounded on if the mapping is constant on the fibres, of codimension r, of an affine...
Calcul de Weyl et opérateurs sous elliptiques
Calcul de Weyl et opérateurs sous-elliptiques
Calcul pseudodifférentiel -adique
Calcul pseudodifférentiel trois-étape
Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
Caractérisation d'opérateurs pseudodifférentiels et applications (d'après R. Beals)
Caractérisation du spectre essentiel de l'opérateur de Schrödinger avec un champ magnétique
Nous donnons une condition suffisante pour qu’un opérateur de Schrödinger avec champ magnétique soit à résolvante compacte. Dans le cas où cette condition n’est pas verifiée, nous caractérisons son spectre essentiel.
Caractérisations des opérateurs pseudo-différentiels
Characterization, spectral invariance and the Fredholm property of multi-quasi-elliptic operators.