Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
Linear approximation for equations of motion of vibrating membrane with one parameter
Koji KIKUCHI
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2008 Volume 60 Issue 1 Pages 127-169

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Abstract
This article treats a one parameter family of equations of motion of vibrating membrane whose energy functionals converge to the Dirichlet integral as the parameter ε tends to zero. It is proved that both weak solutions satisfying energy inequality and generalized minimizing movements converge to a unique solution to the d’Alembert equation.
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© 2008 The Mathematical Society of Japan
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