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J. Korean Math. Soc. 2011; 48(4): 867-885
Printed July 1, 2011
https://doi.org/10.4134/JKMS.2011.48.4.867
Copyright © The Korean Mathematical Society.
Solutions of quasilinear wave equation with strong and nonlinear viscosity
Jin-soo Hwang, Shin-ichi Nakagiri, and Hiroki Tanabe
Daegu University, Kobe University, Osaka University
We study a class of quasilinear wave equations with strong and nonlinear viscosity. By using the perturbation method for semilinear parabolic equations, we have established the fundamental results on existence, uniqueness and continuous dependence on data of weak solutions.
Keywords: equation of membrane with strong viscosity, weak solution, variational method
MSC numbers: 35B30, 35L70
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