Open Access
Translator Disclaimer
2009 Well-Posedness of the Cauchy Problem forHyperbolic Equations with Non-Lipschitz Coefficients
Akbar B. Aliev, Gulnara D. Shukurova
Abstr. Appl. Anal. 2009: 1-15 (2009). DOI: 10.1155/2009/182371

Abstract

We consider hyperbolic equations with anisotropic elliptic part and some non-Lipschitz coefficients. We prove well-posedness of the corresponding Cauchy problem in some functional spaces. These functional spaces have finite smoothness with respect to variables corresponding to regular coefficients and infinite smoothness with respect to variables corresponding to singular coefficients.

Citation

Download Citation

Akbar B. Aliev. Gulnara D. Shukurova. "Well-Posedness of the Cauchy Problem forHyperbolic Equations with Non-Lipschitz Coefficients." Abstr. Appl. Anal. 2009 1 - 15, 2009. https://doi.org/10.1155/2009/182371

Information

Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1176.35110
MathSciNet: MR2534984
Digital Object Identifier: 10.1155/2009/182371

Rights: Copyright © 2009 Hindawi

JOURNAL ARTICLE
15 PAGES


SHARE
Vol.2009 • 2009
Back to Top