The interface blow-up phenomenon and local estimates for doubly degenerate parabolic equations
Anatoli Fedorovich Tedeev · Applicable Analysis · 2007
We study two classes of degenerate parabolic equations of the forms where λ >0, m+λ−2 >0 and a(s) and ρ(s) are positive continuous functions on (0,∞).We examine under which conditions on behaviour of a(s) and ρ(s), corresponding non-negative solutions of the Cauchy problems possess the finite speed of propagations or the interface blow-up phenomena. Moreover, we study local behaviour of solutions of the corresponding Cauchy problems under the optimal assumptions of initial data.