Results 151 to 160 of about 22,976,154 (181)
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Microlocal Analysis of Multistatic Radar Imaging

2024 International Radar Conference (RADAR)
We consider the synthetic aperture radar experiment in which waves, simultaneously emitted from a pair of stationary emitters, are scattered by objects and measured by a receiver that makes multiple passes over the scattering region.
David McMahon, Clifford J Nolan
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Microlocal Analysis

1993
[For the entire collection see Zbl 0777.00009.] Cet ouvrage est composé de deux parties bien distinctes: l'une, écrite par Yu. V. Egorov, portant sur la théorie microlocale, avec divers résultats entrant dans le sujet; l'autre écrite par V. Ya. Ivrii, concernant surtout la théorie des équations hyperboliques linéaires.
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Numerical Microlocal Analysis by Fast Gaussian Wave Packet Transforms and Application to High-Frequency Helmholtz Problems

SIAM Journal on Scientific Computing, 2019
We develop a novel numerical microlocal analysis (NMLA) method using fast Gaussian wave packet transforms.
C. Y. Lam, J. Qian
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INTRODUCTION TO MICROLOCAL ANALYSIS

1986
[This article has already been published in Monographie de l'Enseignement Mathématique, No.32 (Université de Genève, 1986; Zbl 0592.58051).] The author gives a survey of microlocal analysis from the hyperfunction point of view. The following topics are treated: systems of differential equations, microdifferential operators, symplectic structure of the ...
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Selected lectures in Microlocal Analysis

2009
This paper surveys classical results on microlocal analysis. It also includes more recent theorems on propagation at a non-microcharacteristic boundary: these are a boundary microlocal version of Holmgren’s uniqueness Theorem.
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Morera theorems via microlocal analysis

Journal of Geometric Analysis, 1996
More general Morera theorems state that, if \(y(c)= \int_c fdz=0\) for certain subclasses of closed curves in a region, then \(f\) is holomorphic in that region. The present paper shows Morera theorems for circles passing through the origin, for circles of arbitrary radius and arbitrary center, and for translates of a fixed closed convex curve.
Globevnik, Josip, Quinto, Eric Todd
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Nonlinear Microlocal Analysis

1989
The prototype of the equations described in the introduction is the simple semilinear wave equation $$U = \{ \partial_t^2 - \sum\limits_{{i = 1}}^n {\partial_{{{x_j}}}^2} \} U = f\left( {t,X,U} \right). $$ (1.1) with f an arbitrary smooth function.
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Resonances and microlocal analysis

International Journal of Quantum Chemistry, 1987
AbstractIn this paper we outline briefly how microlocal analysis can be applied to give a general approach to the mathematical theory of resonances in the semiclassical limit. We also describe recent results about the asymptotic behavior of resonances generated by closed trajectories and stationary points in the classical flow.
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Introduction to Microlocal Analysis

2019
In this chapter we give a survey of the theory of h-pseudodifferential operators (in Section 1.1), h-Fourier integral operators (in Section 1.2), the notion of wave front sets and related topics (in Section 1.3). Proofs are mostly sketchy since all the results of this chapter are trivial consequences of the results proven in L. Hormander’s monograph [1]
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Advances in Microlocal Analysis

1986
Convergence of Formal Solutions of Singular Partial Differential Equations.- Singularities des Solutions de Problemes de Cauchy Hyperboliques Non Lineaires.- Fourier Integral Operators of Infinite Order on Gevrey Spaces. Applications to the Cauchy Problem for Hyperbolic Operators.- Singularities, Supports and Lacunas.- On the Wave Equation in Plane ...
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