On a class of Hyperbolic equations in Weyl-Hormander calculus
File(s)Hypjmaaprev2.pdf (349.18 KB)
Accepted version
Author(s)
Delgado Valencia, JC
Type
Journal Article
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.
Date Issued
2015-12-11
Date Acceptance
2015-11-01
Citation
Journal of Mathematical Analysis and Applications, 2015, 436 (1), pp.339-354
ISSN
0022-247X
Publisher
Elsevier
Start Page
339
End Page
354
Journal / Book Title
Journal of Mathematical Analysis and Applications
Volume
436
Issue
1
Copyright Statement
© 2015, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Subjects
Science & Technology
Physical Sciences
Mathematics, Applied
Mathematics
Hyperbolic evolution equation
Degenerate hyperbolic equation
Nonhomogeneous calculus
Microlocal analysis
PSEUDODIFFERENTIAL-OPERATORS
SYSTEMS
S(M,G)
General Mathematics
0101 Pure Mathematics
0102 Applied Mathematics
0906 Electrical And Electronic Engineering
Publication Status
Published