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We analyze ``pulled'' or ``linearly marginally stable'' fronts propagatinginto unstable states. While ``pushed'' fronts into meta- and unstable statesrelax exponentially, pulled fronts relax algebraically, and simultaneously thestandard derivation of effective interface equations breaks down. We calculateall universal relaxation terms of uniformly translating pulled fronts. Theleading $1/t$ and $1/t^{3/2}$ corrections to the velocity are determined by thedispersion relation of the linearized equation only. Our analysis sheds newlight on the propagation mechanism of pulled fronts.Comment: 4 pages, revtex, 3 figure

Universal Algebraic Relaxation of Fronts Propagating into an Unstable State and Implications for Moving Boundary Approximations