In this paper we discuss the quasilinear parabolic equation U_■=▽(u^u(1-u)~β.Vu)+■(x,t.u)▽u+C(x,t,u) which is degenerate at u =0 and u=1.Let u(x,t)be a weak solution of the equation satisfying 0<u(x,t)<1.Un...In this paper we discuss the quasilinear parabolic equation U_■=▽(u^u(1-u)~β.Vu)+■(x,t.u)▽u+C(x,t,u) which is degenerate at u =0 and u=1.Let u(x,t)be a weak solution of the equation satisfying 0<u(x,t)<1.Under some assumptions we establish H■lder continuity of u(x,t).展开更多
文摘In this paper we discuss the quasilinear parabolic equation U_■=▽(u^u(1-u)~β.Vu)+■(x,t.u)▽u+C(x,t,u) which is degenerate at u =0 and u=1.Let u(x,t)be a weak solution of the equation satisfying 0<u(x,t)<1.Under some assumptions we establish H■lder continuity of u(x,t).
