Journal of the
Korean Mathematical Society
JKMS
ISSN(Print) 0304-9914
ISSN(Online) 2234-3008
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J. Korean Math. Soc. 2007; 44(2): 443-453
Printed March 1, 2007
Copyright © The Korean Mathematical Society.
Weak solutions of the equation of motion of membrane with strong viscosity
Jin-soo Hwang and Shin-ichi Nakagiri
Dong-A University, Kobe University
We study the equation of a membrane with strong viscosity. Based on the variational formulation corresponding to the suitable function space setting, we have proved 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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