Taiwanese Journal of Mathematics

COUPLED SINE-GORDON EQUATIONS AS NONLINEAR SECOND ORDER EVOLUTION EQUATIONS

Shin-ichi Nakagiri and Jun-hong Ha

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Abstract

The existence, uniqueness and continuous dependence of global weak solutions of coupled sine-Gordon equations are established in the framework of variational method due to Dautray and Lions. As an application of weak solutions, we solve the quadratic optimal control problems for the control systems described by coupled sine-Gordon equations.

Article information

Source
Taiwanese J. Math., Volume 5, Number 2 (2001), 297-315.

Dates
First available in Project Euclid: 18 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1500407338

Digital Object Identifier
doi:10.11650/twjm/1500407338

Mathematical Reviews number (MathSciNet)
MR1832169

Zentralblatt MATH identifier
0988.35118

Citation

Nakagiri, Shin-ichi; Ha, Jun-hong. COUPLED SINE-GORDON EQUATIONS AS NONLINEAR SECOND ORDER EVOLUTION EQUATIONS. Taiwanese J. Math. 5 (2001), no. 2, 297--315. doi:10.11650/twjm/1500407338. https://projecteuclid.org/euclid.twjm/1500407338


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