Well-Posedness of the Cauchy Problem for Hyperbolic Equations with Non-Lipschitz Coefficients

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 a...

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Bibliographic Details
Main Authors: Akbar B. Aliev, Gulnara D. Shukurova
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2009/182371
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