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.
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
2007; 44(2): 443-453
2020; 57(6): 1451-1470
2024; 61(1): 133-147
2020; 57(6): 1347-1372
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd