WEAK SOLUTIONS OF THE EQUATION OF MOTION OF MEMBRANE WITH STRONG VISCOSITY

Hwang, Jin-Soo; Nakagiri, Shin-Ichi

doi:10.4134/JKMS.2007.44.2.443

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WEAK SOLUTIONS OF THE EQUATION OF MOTION OF MEMBRANE WITH STRONG VISCOSITY

Journal title : Journal of the Korean Mathematical Society
Volume 44, Issue 2, 2007, pp.443-453
Publisher : The Korean Mathematical Society
DOI : 10.4134/JKMS.2007.44.2.443

Title & Authors

WEAK SOLUTIONS OF THE EQUATION OF MOTION OF MEMBRANE WITH STRONG VISCOSITY
Hwang, Jin-Soo; Nakagiri, Shin-Ichi;

Abstract

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;

Language

English

Cited by

1time(s) in KSCD

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3time(s) in CrossRef

Parameter identification problem for the equation of motion of membrane with strong viscosity, Journal of Mathematical Analysis and Applications, 2008, 342, 1, 125

SOLUTIONS OF QUASILINEAR WAVE EQUATION WITH STRONG AND NONLINEAR VISCOSITY, Journal of the Korean Mathematical Society, 2011, 48, 4, 867

Weak and Strong Solutions for a Strongly Damped Quasilinear Membrane Equation, Abstract and Applied Analysis, 2017, 2017, 1

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