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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
2009This 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, 1996More 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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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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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, 1987AbstractIn 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
2019In 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
1986Convergence 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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Microlocal analysis in nonlinear thermoelasticity
Nonlinear Analysis: Theory, Methods & Applications, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nonlinear Analysis and Microlocal Analysis
Nonlinear Analysis and Microlocal Analysis, 1992Kung-ching Chang +2 more
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
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