Propagation of Singularities for Fuchsian Operators


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35. Partial differential equations

The papers I have selected include the three Il'eat memoirs in the first volumes of Acta Math. These are the papers which made his reputation and they include many results and proofs which are now standard. They are preceded by an , unedited memoir written by Poincare in May at the height of his , creative ferment.

Lecture Notes in Mathematics | Tanum nettbokhandel

Passar bra ihop. Papers on Topology Henri Poincare. The Foundations of Science Henri Poincare. Bloggat om Papers on Fuchsian Functions. Density properties for solenoidal vector fields, with applications to the Navier-Stokes equations in exterior domains. Primary 35L45, JST. Global weak entropy solutions to quasilinear wave equations of Klein-Gordon and sine-Gordon type.

Primary 35Q10, JST.

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Asymptotic wave functions and energy distributions for long-range perturbations of the d'Alembert equation. Primary 35H05, JST. Bounded, periodic and almost periodic classical solutions of some nonlinear wave equations with a dissipative term. Primary 35K57, JST.

Propagation of Singularities for Fuchsian Operators

The exterior nonstationary problem for the Navier-Stokes equations in regions with moving boundaries. Primary 35P20, JST. Local existence and analyticity of hyperfunction solutions of partial differential equations of first order in two independent variables. A finite difference approach to the number of peaks of solutions for semilinear parabolic problems. Primary 35A10, JST. Singular hyperbolic systems.

Propagation of singularities for Fuchsian operators

Asymptotic expansions for Fuchsian hyperbolic partial differential equations. Asymptotic analysis for Fuchsian hyperbolic equations in Gevrey classes. Resolvent estimates at low frequencies and limiting amplitude principle for acoustic propagators.

temp.cmnv.org/14-dwight-ave-natick-massachusetts.php This paper is aimed at giving a general construction of algebras of generalized Gevrey ultradistributions and the microlocal analysis suitable for them. It also makes explicit the contribution of the mollification in the embedding of ultradistributions into algebras of generalized functions. The physical and mathematical motivations for doing so are discussed and a number of examples are given.


  1. Methods in Polyphenol Chemistry: Proceedings of the Plant Phenolics Group Symposium, Oxford, April 1963;
  2. Assyrian Dictionary of the Oriental Institute of the University of Chicago: 2 - B.
  3. Propagation of Singularities for Fuchsian Operators;
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  5. Propagation of singularities for Fuchsian operators | Institute of Mathematics.

Time-frequency analysis provides an effective description of the nonstationary random processes arising from random phenomena. These phenomena have typically a time-varying spectral content, which can be represented by using time-frequency distributions.

Pseudodifferential Operators on Singular Spaces II (Michael Taylor @ MSRI)

The stochastic differential equation that models the nonstationary random process can be transformed in the time-frequency domain, and the properties of the resulting deterministic timefrequency equation clarify the nature of the nonstationary random process. We review the transformation to the time-frequency domain, and we prove the correctness of the obtained time-frequency equation. In this paper we define a variation of theWigner form depending on a linear transformation of the time-frequency plane and study the corresponding properties.

In particular we prove that the representations in this new class which satisfy the support properties are just the so-called t-Wigner forms. In this paper we present a new technique to prove optimal boundedness results for localization operators acting on Wiener amalgam spaces and, in particular, on L p spaces, first obtained in [7] by another method. This new proof does not require the Schur-type Test introduced and employed there. We also briefly discuss the optimality of these results.

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Propagation of Singularities for Fuchsian Operators Propagation of Singularities for Fuchsian Operators
Propagation of Singularities for Fuchsian Operators Propagation of Singularities for Fuchsian Operators
Propagation of Singularities for Fuchsian Operators Propagation of Singularities for Fuchsian Operators
Propagation of Singularities for Fuchsian Operators Propagation of Singularities for Fuchsian Operators
Propagation of Singularities for Fuchsian Operators Propagation of Singularities for Fuchsian Operators
Propagation of Singularities for Fuchsian Operators Propagation of Singularities for Fuchsian Operators
Propagation of Singularities for Fuchsian Operators Propagation of Singularities for Fuchsian Operators

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