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An analysis of the nonlinear equation of motion of a vibrating membrane in the space of BV functions

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Publication:1592424
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DOI10.2969/jmsj/05240741zbMath0964.35101OpenAlexW2105227811MaRDI QIDQ1592424

Koji Kikuchi

Publication date: 11 July 2001

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/05240741


zbMATH Keywords

Rothe's methodvarifold convergence


Mathematics Subject Classification ID

Variational inequalities (49J40) Second-order nonlinear hyperbolic equations (35L70) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Membranes (74K15)


Related Items (4)

Theory of functions of bounded variation and its applications ⋮ Constructing a solution in time semidiscretization method to an equation of vibrating string with an obstacle ⋮ Existence and uniqueness of a solution in the space of BV functions to the equation of a vibrating membrane with a ``viscosity term ⋮ Linear approximation for equations of motion of vibrating membrane with one parameter




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