RT Journal Article
T1 Minimal periods of semilinear evolution equations with Lipschitz nonlinearity
A1 Robinson, James C.
A1 Vidal López, Alejandro
AB It is known that any periodic orbit of a Lipschitz ordinary differential equation  must have period at least 2π/L, where L is the Lipschitz constant of f. In this paper, we prove a similar result for the semilinear evolution equation du/dt=-Au+f(u): for each α with 0 α 1/2 there exists a constant Kα such that if L is the Lipschitz constant of f as a map from D(Aα) into H then any periodic orbit has period at least KαL-1/(1-α). As a concrete application we recover a result of Kukavica giving a lower bound on the period for the 2d Navier–Stokes equations with periodic boundary conditions.
PB Elsevier
SN 0022-0396
YR 2006
FD 2006-01-15
LK https://hdl.handle.net/20.500.14352/49662
UL https://hdl.handle.net/20.500.14352/49662
LA eng
NO JCR
NO DGES
DS Docta Complutense
RD 8 abr 2025