Barles, G.; Souganidis, P. E. Space-time periodic solutions and long-time behavior of solutions to quasi-linear parabolic equations. (English) Zbl 0986.35047 SIAM J. Math. Anal. 32, No. 6, 1311-1323 (2001). The authors studied the following two questions about space-time periodic quasilinear parabolic equations: (i) the existence of space-time periodic solutions and (ii) the asymptotic behavior as \(t\to\infty\) of the solutions of the initial value problem for quasilinear parabolic equations in the periodic setting. Reviewer: Jiaqi Mo (Wuhu) Cited in 1 ReviewCited in 59 Documents MSC: 35K55 Nonlinear parabolic equations 35B10 Periodic solutions to PDEs 35K45 Initial value problems for second-order parabolic systems 35K65 Degenerate parabolic equations 35B40 Asymptotic behavior of solutions to PDEs Keywords:asymptotic behavior; strong maximum principle; viscosity solutions PDFBibTeX XMLCite \textit{G. Barles} and \textit{P. E. Souganidis}, SIAM J. Math. Anal. 32, No. 6, 1311--1323 (2001; Zbl 0986.35047) Full Text: DOI