EXISTENCE OF SOLUTIONS FOR A QUASILINEAR PARABOLIC TYPE EQUATION CONTAINING p-CURL SYSTEM AND APPLICATIONS TO BLOW-UP AND EXTINCTION
We consider a system of quasilinear parabolic type equations involving operator curl associated with the Maxwell equations in a multi-connected domain and deal with the system containing p-curl system. We show the existence and blow-up or extinction of solution, under more general setting.
quasilinear parabolic type system, p-curl system, the Maxwell equations.
