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Zbl 1113.35129
Chen, Guowang; Yue, Hongyun; Wang, Shubin
The initial boundary value problem for quasi-linear wave equation with viscous damping. (English)
[J] J. Math. Anal. Appl. 331, No. 2, 823-839 (2007). ISSN 0022-247X

Summary: The existence and uniqueness of the local generalized solution and the local classical solution for the initial boundary value problem of the quasi-linear wave equation with viscous damping are proved. The nonexistence of the global solution for this problem is discussed by an ordinary differential inequality. Finally, an example is given.
MSC 2000:
*35L70 Second order nonlinear hyperbolic equations
35L20 Second order hyperbolic equations, boundary value problems

Keywords: quasi-linear wave equation with viscous damping; initial boundary value problem; local solution; blow-up of solution

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