Peter Polacik

University of Minnesota (USA)

On a threshold behaviour in parabolic equations on RN

In a class of nonautonomous parabolic equations on the whole space, we consider solutions that separate two different kinds of asymptotic behavior (for example, convergence to two different constants or convergence to zero and blow up). We examine the uniqueness of such a separatrix on a ray of initial conditions and discuss the behavior of the corresponding solutions.