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Titlebook: New Developments in Pseudo-Differential Operators; ISAAC Group in Pseud Luigi Rodino,M. W. Wong Book 2009 Birkhäuser Basel 2009 curvature.g

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,Ellipticity of Fredholm Pseudo-Differential Operators on ,,(ℝ,),lm on ..(ℝ.), 1 < . < ∞, then the pseudo-differential operator is elliptic. The basic idea is to construct an isometric operator .., λ ∈ ℝ {0}, on L.(ℝ.) in order to prove the ellipticity of the Fredholm pseudo-differential operator with symbol in ... This result is then generalized for arbitrary sy
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Type 1,1-Operators Defined by Vanishing Frequency Modulation,patible with negligible operators and stable under vanishing frequency modulation. Elaborating counter-examples of Ching, Hörmander and Parenti-Rodino, type 1, 1-operators with unclosable graphs are proved to exist; others are shown to lack the microlocal property as they flip the wavefront set of a
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,Regularity for Quasi-Elliptic Pseudo-Differential Operators with Symbols in Hölder Classes,ype, the authors construct a suitable symbolic calculus and a parametrrx for quasi-elliptic operators; these tools are applied to the study of quasi-elliptic linear partial differential equations with H:older coefficients.
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Hyperbolic Systems with Discontinuous Coefficients: Generalized Wavefront Sets, front set of the solution to a transport equation with discontinuous propagation speed and delta functions as initial data. The generalized wave front set turns out to have a more refined and informative structure than the wavefront set of the corresponding distributional limit.
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