Geodesic
Ellipticity in the SG calculus
Novi Sad Journal of Mathematics, Tome 45 (2015) no. 1.

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In this paper we report on recent results and applications of the so-called SG calculus, focusing, in particular, on its elliptic elements. The topics we discuss include propagation of singularities of (global versions of) wave-front sets, global regularity of solutions to linear and nonlinear partial differential equations on $\R^{d}$ in appropriate function and distribution spaces, and spectral asymtptotics of elliptic, selfadjoint, positive operators on $\R^{d}$.
Publié le :
DOI : 10.30755/NSJOM.dans14.01
Classification : 35S05, 35A18, 35J61, 35H10
Keywords: SG-calculus, ellipticity, wave-front sets, modulation spaces, GS classes, spectral asymptotics, Weyl formula 
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Sandro Coriasco; Luigi Rodino. Ellipticity in the SG calculus. Novi Sad Journal of Mathematics, Tome 45 (2015) no. 1. doi : 10.30755/NSJOM.dans14.01. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.dans14.01/

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