In the present work, we consider an inverse boundary value problem for a fourth order pseudo parabolic equation with periodic and integral condition.
Yashar Mehraliyev +2 more
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OPERATOR METHOD IN THE PROBLEM OF THE H-POLARIZED WAVE DIFFRACTION BY TWO SEMI-INFINITE GRATINGS PLACED IN THE SAME PLANE [PDF]
Purpose: Problem of the H-polarized plane wave diffraction by the structure, which consists of two semi-infinite strip gratings, is considered. The gratings are placed in the same plane. The gap between the gratings is arbitrary. The purpose of the paper
M. E. Kaliberda +2 more
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Fourier integrals operators on lie groupoids [PDF]
As announced in [12], we develop a calculus of Fourier integral G-operators on any Lie groupoid G. For that purpose, we study convolability and invertibility of Lagrangian conic submanifolds of the symplectic groupoid T * G. We also identify those Lagrangian which correspond to equivariant families parametrized by the unit space G (0) of homogeneous ...
Jean-Marie Lescure, Stéphane Vassout
openalex +4 more sources
An inverse problem for Hilfer type differential equation of higher order [PDF]
In three-dimensional domain, an identification problem of the source function for Hilfer type partial differential equation of the even order with a condition in an integral form and with a small positive parameter in the mixed derivative is considered.
T.K. Yuldashev +2 more
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Local Formula for the Index of a Fourier Integral Operator [PDF]
We show that the index of an elliptic Fourier integral operator associated to a contact diffeomorphism $\phi$ of cosphere bundles of two Riemannian manifolds X and Y is given by $\int_{B^*X}\hat{A}(T^*X)\exp{\theta} - \int_{B^*Y}\hat{A}(T^*Y)\exp{\theta}$
E. Leichtnam, R. Nest, B. Tsygan
semanticscholar +1 more source
The radiation field is a fourier integral operator [PDF]
On demontre que pour toute variete non-captive asymptotiquement hyperbolique ou asymptotiquement conique, le champs de radiation introduit par F.G. Friedlander qui est l'operateur envoyant la donnee de Cauchy pour l'equation des ondes sur l'asymptotique ...
Antonio S'a Barreto, J. Wunsch
semanticscholar +1 more source
Fourier Analysis with Generalized Integration
We generalize the classic Fourier transform operator F p by using the Henstock–Kurzweil integral theory. It is shown that the operator equals the H K -Fourier transform on a dense subspace of L p , 1
Juan H. Arredondo +2 more
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Fourier-Integral-Operator Approximation of Solutions to First-Order Hyperbolic Pseudodifferential Equations I: Convergence in Sobolev Spaces [PDF]
An approximation Ansatz for the operator solution, U(z′,z), of a hyperbolic first-order pseudodifferential equation, ∂ z + a(z,x,D x ) with Re (a) ≥ 0, is constructed as the composition of global Fourier integral operators with complex phases.
J. Rousseau
semanticscholar +1 more source
Unsteady bending function for an unlimited anisotropic plate [PDF]
This work is devoted to the study of non-stationary vibrations of a thin anisotropic unbounded Kirchhoff plate under the influence of random non-stationary loads.
Alexander O. Serdiuk +2 more
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AN OPERATOR METHOD FOR THE PROBLEM OF PLANE WAVE DIFFRACTION BY INFINITELY THIN, PERFECTLY CONDUCTING HALF-PLANE AND TWO DISKS [PDF]
Subject and Purpose. Considered in the paper is diffraction of a plane wave by a structure involving a half-plane and two disks. The disks and the half-plane, lying within parallel planes, are assumed to be infinitely thin and perfectly conducting.
M. E. Kaliberda +2 more
doaj +1 more source

