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Weak solutions of a class of nonlinear hyperbolic equations. (Chinese. English summary) Zbl 1289.35049
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
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