Une classe d'opérateurs pseudo-différentiels partiellement hypoelliptique-analytiques
Une généralisation du théorème de propagation des singularités pour les opérateurs à symbole principal réel
Une inégalité de Gårding à bord
The aim of this work is to give a Gårding inequality for pseudodifferential operators acting on functions in supported in a closed regular region . A natural idea is to suppose that the symbol is non-negative in . Assuming this, we show that this result is true for pseudo-differential operators of order one, when is the half-space, and under a supplementary weak hypothesis of degeneracy of the symbol on the boundary.
Unicité du problème de Cauchy pour des opérateurs elliptiques à caractéristiques de multiplicité variable
Wave front set for positive operators and for positive elements in non-commutative convolution algebras
Let WF⁎ be the wave front set with respect to , quasi analyticity or analyticity, and let K be the kernel of a positive operator from to ’. We prove that if ξ ≠ 0 and (x,x,ξ,-ξ) ∉ WF⁎(K), then (x,y,ξ,-η) ∉ WF⁎(K) and (y,x,η,-ξ) ∉ WF⁎(K) for any y,η. We apply this property to positive elements with respect to the weighted convolution , where is appropriate, and prove that if for every and (0,ξ) ∉ WF⁎(u), then (x,ξ) ∉ WF⁎(u) for any x.
Wave packets techniques
Weak Bloch property and weight estimates for elliptic operators
Weighted estimates for commutators of linear operators
We study boundedness properties of commutators of general linear operators with real-valued BMO functions on weighted spaces. We then derive applications to particular important operators, such as Calderón-Zygmund type operators, pseudo-differential operators, multipliers, rough singular integrals and maximal type operators.
Weighted local Orlicz-Hardy spaces with applications to pseudo-differential operators [Book]
Weighted Parabolic Triebel Spaces of Product Type: Fourier Multipliers and Pseudo-Differential Operators.
Weyl asymptotics for non-self-adjoint operators with small multiplicative random perturbations
We study the Weyl asymptotics of the distribution of eigenvalues of non-self-adjoint (pseudo)differential operators with small random multiplicative perturbations in arbitrary dimension. We were led to quite essential improvements of many of the probabilistic aspects.
Weyl formula for quasi-elliptic pseudo-differential operators
Weyl product algebras and classical modulation spaces
We discuss continuity properties of the Weyl product when acting on classical modulation spaces. In particular, we prove that is an algebra under the Weyl product when p ∈ [1,∞] and 1 ≤ q ≤ min(p,p’).
Weyl transforms associated with the Riemann-Liouville operator.
When is a pseudo-differential equation solvable ?
This paper begins with a broad survey of the state of the art in matters of solvability for differential and pseudo-differential equations. Then we proceed with a Hilbertian lemma which we use to prove a new solvability result.
Wiener type algebras of pseudodifferential operators
Zur Spektralinvarianz von Algebren von Pseudodifferentialoperatoren in der Lp-Theorie.
Ψ-pseudodifferential operators and estimates for maximal oscillatory integrals
We define a class of pseudodifferential operators with symbols a(x,ξ) without any regularity assumptions in the x variable and explore their boundedness properties. The results are applied to obtain estimates for certain maximal operators associated with oscillatory singular integrals.
Априорные оценки и фредгольмовость одного класса псевдодифференциальных операторов
Асимптотика некоторых дифференциальных, псевдодифференциальных уравнений и динамических систем при малой дисперсии