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On periodic solutions of a semilinear hyperbolic parabolic equation

Published online by Cambridge University Press:  17 April 2009

Mitsuhiro Nakao
Affiliation:
Department of Mathematics College of General Education, Kyushu University, Fukuoka 810, Japan
Hisako Kato
Affiliation:
Department of Mathematics College of General Education, Kyushu University, Fukuoka 810, Japan
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Abstract

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Uniqueness and regularity of periodic solutions to the semilinear dissipative wave equation with small parameter ∈ > 0,

are investigated when g(u) has a certain ‘critical’ nonlinearity.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1992

References

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