Results 71 to 80 of about 9,965 (190)
International Journal of Antennas and Propagation, Volume 2024, Issue 1, 2024.In this article, the inverse diffraction parabolic equation (IDPE) model based on the finite difference method is proposed, which is first applied in the multiple nonradiation targets orientation technology. In principle, the electromagnetic signal propagating in the transmission path will produce a reflected signal back to the source end while ...
Qi Guo +5 more
wiley +1 more source
Electronic Journal of Differential Equations, 2018 We give a factorization procedure for a strictly hyperbolic partial differential operator of second order with logarithmic slow scale coefficients. From this we can microlocally diagonalize the full wave operator which results in a coupled system of ...
Martina Glogowatz
doaj
Journal of Mathematics, Volume 2024, Issue 1, 2024.The goal of this paper project is to find a minimum time null controllability of the fractional heat equation in one dimension using the notion of strategic zone actuators. As part of our research activities, we had already addressed this theme, and this publication project is a logical continuation in the fractional case.
Cheikh Seck +3 more
wiley +1 more source
Electronic Journal of Differential Equations, 2012 We study strictly hyperbolic partial differential operators of second-order with non-smooth coefficients. After modeling them as semiclassical Colombeau equations of log-type we provide a factorization procedure on some time-space-frequency domain. As
Martina Glogowatz
doaj
Weighted trace cochains; a geometric setup for anomalies
, 2005 We extend formulae which measure discrepancies for regularized traces on classical pseudodifferential operators to regularized trace cochains, regularized traces corresponding to 0-regularized trace cochains.
Paycha, Sylvie
core +1 more source
Covariant Fields of C*-Algebras under Rieffel Deformation
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We show that Rieffel's deformation sends covariant C(T)-algebras into C(T)-algebras. We also treat the lower semi-continuity issue, proving that Rieffel's deformation transforms covariant continuous fields of C*-algebras into continuous fields of C ...
Fabian Belmonte, Marius Măntoiu
doaj +1 more source
Pseudodifferential operators on manifolds with a Lie structure at infinity
, 2006 Several examples of non-compact manifolds $M_0$ whose geometry at infinity is described by Lie algebras of vector fields $V \subset \Gamma(TM)$ (on a compactification of $M_0$ to a manifold with corners $M$) were studied by Melrose and his collaborators.
Ammann, Bernd +2 more
core
On Some Degenerate Pseudodifferential Operators
Doklady Mathematics, 2019 In this paper, a new class of degenerate pseudo-differential operators is investigated, with a variable symbol depending on the complex parameter. Pseudodifferential operators are constructed by a special integral transform. Theorems on the composition and boundedness of these operators in special weighted spaces are proved.
Baev, A. D. +2 more
openaire +2 more sources
Electronic Journal of Differential Equations, 2009 We provide sufficient conditions of local solvability for partial differential operators with variable Colombeau coefficients. We mainly concentrate on operators which admit a right generalized pseudodifferential parametrix and on operators which are ...
Claudia Garetto
doaj
Pseudodifferential operators with homogeneous symbols.
Michigan Mathematical Journal, 1999 The authors define homogeneous symbols as symbols \(a(x,\xi)\) in \(C^\infty(\mathbb{R}^n\times (\mathbb{R}^n/0))\) satisfying \[ |D^\alpha_x D^\beta_\xi a(x,\xi)|\leq C_{\alpha\beta}|\xi|^{m- |\beta|+|\alpha|} \] for all \(\alpha\), \(\beta\), with constants \(C_{\alpha\beta}\) independent of \(x\in\mathbb{R}^n\), \(\xi\in \mathbb{R}^n/0\).
Grafakos, Loukas, Torres, Rodolfo H.
openaire +2 more sources