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Space-time periodic solutions and long-time behavior of solutions to quasi-linear parabolic equations. (English) Zbl 0986.35047

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)

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
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