Results 1 to 10 of about 6,226 (165)

Computation of Pseudo-Differential Operators [PDF]

SIAM Journal on Scientific Computing, 1996
Summary: A simple algorithm is described for computing general pseudo-differential operator actions. Our approach is based on the asymptotic expansion of the symbol together with the fast Fourier transform. The idea is motivated by the characterization of the pseudo-differential operator algebra.
Gang Bao, William W. Symes
openaire   +2 more sources

A pointwise estimate for pseudo-differential operators

Bulletin of Mathematical Sciences, 2023
Let [Formula: see text] be a pseudo-differential operator defined by the symbol [Formula: see text] with [Formula: see text] [Formula: see text]. It is shown that if [Formula: see text], then the operator satisfies the following pointwise estimate: (Tau)♯
Guangqing Wang, Wenyi Chen
doaj   +1 more source

On positivity of pseudo-differential operators [PDF]

Proceedings of the National Academy of Sciences, 1978
In this paper we obtain new lower bounds for pseudo-differential operators with non-negative symbols, thus providing a sharper form of Gårding's inequality.
Fefferman, C., Phong, D. H.
openaire   +2 more sources

On L 2 $L^{2}$ -boundedness of Fourier integral operators

Journal of Inequalities and Applications, 2020
Let T a , φ $T_{a,\varphi }$ be a Fourier integral operator with symbol a and phase φ. In this paper, under the conditions a ( x , ξ ) ∈ L ∞ S ρ n ( ρ − 1 ) / 2 ( ω ) $a(x,\xi )\in L^{\infty }S^{n(\rho -1)/2}_{\rho }(\omega )$ and φ ∈ L ∞ Φ 2 $\varphi ...
Jie Yang, Wenyi Chen, Jiang Zhou
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Application of the Littlewood-Paley method to Calderon-Zygmund operators [PDF]

Surveys in Mathematics and its Applications, 2022
In this article, we establish the conditions for the pseudo-differential operator T under which this operator can be represented in convolution form with the singular kernel that satisfies |∂ xα ∂ zβ k(x,z)| ≤ Aβα(L)|z|-l-m-|β |-L for all z ≠ 0, and all ...
Mykola Yaremenko
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Quantization of Pseudo-differential Operators on the Torus [PDF]

Journal of Fourier Analysis and Applications, 2009
36 ...
Ruzhansky, Michael, Turunen, Ville
openaire   +4 more sources

A Class of Bounded Pseudo-Differential Operators [PDF]

Proceedings of the National Academy of Sciences, 1972
Pseudo-differential operators of order -M and type ρ, δ 1 , δ 2 are shown to be bounded in L 2 provided that 0 ≤ ρ ≤ δ 1 < 1, 0 ≤ ρ ≤ δ 2
Calderon, Alberto P., Vaillancourt, Remi
openaire   +3 more sources

Almost Automorphic and Pseudo-Almost Automorphic Solutions to Semilinear Evolution Equations with Nondense Domain

Journal of Inequalities and Applications, 2009
We study the existence and uniqueness of almost automorphic (resp., pseudo-almost automorphic) solutions to a first-order differential equation with linear part dominated by a Hille-Yosida type operator with nondense domain.
Bruno de Andrade, Claudio Cuevas
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Pseudo-differential operators and equations in a discrete half-space

Mathematical Modelling and Analysis, 2018
We introduce a digital pseudo-differential operator acting in discrete Sobolev--Slobodetskii spaces and consider pseudo-differential equations with such operators in a discrete half-space.
Alexander V. Vasilyev, Vladimir B. Vasilyev   +1 more
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On some perturbations of a stable process and solutions to the Cauchy problem for a class of pseudo-differential equations

Karpatsʹkì Matematičnì Publìkacìï, 2015
A fundamental solution for some class of pseudo-differential equations is constructed by the method based on the theory of perturbations. We consider a symmetric $\alpha$-stable process in multidimensional Euclidean space. Its generator $\mathbf{A}$ is a
M.M. Osypchuk
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