Abstract and Applied Analysis

On a Fractional Nonlinear Hyperbolic Equation Arising from Relative Theory

Zujin Zhang, Xiaofeng Wang, and Zheng-an Yao

Full-text: Open access

Abstract

We obtain the existence of a weak solution to a fractional nonlinear hyperbolic equation arising from relative theory by the Galerkin method. Its uniqueness is also discussed. Furthermore, we show the regularity of the obtained solution. In our proof, we use harmonic analysis techniques and compactness arguments.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 548562, 6 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393450379

Digital Object Identifier
doi:10.1155/2013/548562

Mathematical Reviews number (MathSciNet)
MR3132564

Zentralblatt MATH identifier
1293.35358

Citation

Zhang, Zujin; Wang, Xiaofeng; Yao, Zheng-an. On a Fractional Nonlinear Hyperbolic Equation Arising from Relative Theory. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 548562, 6 pages. doi:10.1155/2013/548562. https://projecteuclid.org/euclid.aaa/1393450379


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