On periodic solutions of a semilinear hyperbolic parabolic equation

Mitsuhiro Nakao, Hisako Kato
1992 Bulletin of the Australian Mathematical Society  
Uniqueness and regularity of periodic solutions to the semilinear dissipative wave equation with small parameter e > 0, eu" -An + u t + g(u) -f(x, t) on fi x R and u |en= 0, fi C R N , are investigated when g(u) has a certain 'critical' nonlinearity.
doi:10.1017/s0004972700011874 fatcat:g3mufnurlfgvdnhl6m34kcdhd4