ABSTRACT
We consider nonnegative solutions to the Cauchy problem for a degenerate parabolic system of the form
Under the suitable assumptions on the parameters of nonlinearities and initial data, we obtained optimal decay estimates of a solution for a large time. Moreover, the phenomena of extinction in finite time was established. Provided that initial data are compactly supported, we proved the property of finite speed of propagation.
Disclosure statement
No potential conflict of interest was reported by the author(s).