Xia, Zilun; Cao, Wenhui; Yang, Wenbin Weak solutions of a class of nonlinear hyperbolic equations. (Chinese. English summary) Zbl 1289.35049 J. Yunnan Univ. Natly., Nat. Sci. 22, No. 1, 48-53 (2013). Summary: This paper is devoted to the regularity of weak solutions for a class of nonlinear hyperbolic equations. By making use of the contraction theorem, the existence of weak solutions in the initial-boundary value problem related to the above hyperbolic equations is obtained. Then it also studies the uniqueness of weak solutions via some techniques and methods. MSC: 35D30 Weak solutions to PDEs 35L75 Higher-order nonlinear hyperbolic equations Keywords:nonlinear hyperbolic equations; contraction theorem; Galerkin-approximation; weak convergence PDF BibTeX XML Cite \textit{Z. Xia} et al., J. Yunnan Univ. Natly., Nat. Sci. 22, No. 1, 48--53 (2013; Zbl 1289.35049) Full Text: DOI