Article ID Journal Published Year Pages File Type
6417426 Journal of Mathematical Analysis and Applications 2016 16 Pages PDF
Abstract

In this paper we study the Cauchy problem for hyperbolic equations in the setting of Hörmander S(m,g) classes. We provide regularity estimates, existence and uniqueness in the scale of Sobolev spaces H(m,g) adapted to the Weyl-Hörmander calculus. We also obtain estimates for some parabolic evolution equations.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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