Open Access
Translator Disclaimer
August 2006 Propagation of microlocal regularities in Sobolev spaces to solutions of boudary value problems for elastic equations
Kazuhiro YAMAMOTO
Hokkaido Math. J. 35(3): 497-545 (August 2006). DOI: 10.14492/hokmj/1285766414

Abstract

We study propagation of microlocal regularities in the Sobolev space of solutions to boundary value problems for the isotropic elastic equation. We assume that the solutions microlocally belong to the Sobolev space of order s on the incident generalized bicharacteristic to the boundary. Then we discuss that whether the solutions have the same microlocal regularities in the Sobolev space on the reflected generalized bicharacteristic or not. Our results depend on the condition that how the incident generalized bicharacteristic attaches to the boundary. In this paper we only consider the boundary value problems for the isotropic elastic equation, however our method is valid for these of higher order hyperbolic equations and generalized elastic equations.

Citation

Download Citation

Kazuhiro YAMAMOTO. "Propagation of microlocal regularities in Sobolev spaces to solutions of boudary value problems for elastic equations." Hokkaido Math. J. 35 (3) 497 - 545, August 2006. https://doi.org/10.14492/hokmj/1285766414

Information

Published: August 2006
First available in Project Euclid: 29 September 2010

zbMATH: 1205.35312
MathSciNet: MR2275499
Digital Object Identifier: 10.14492/hokmj/1285766414

Subjects:
Primary: 58J47
Secondary: 35L55

Keywords: Elastic equation , propagation of sigularities , Sobolev space

Rights: Copyright © 2006 Hokkaido University, Department of Mathematics

JOURNAL ARTICLE
49 PAGES


SHARE
Vol.35 • No. 3 • August 2006
Back to Top