In this paper we discuss the quasilinear parabolic equation Ut=△↓(u^α(1-u)^β.△↓u)+B(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...In this paper we discuss the quasilinear parabolic equation Ut=△↓(u^α(1-u)^β.△↓u)+B(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 Hoelder continuity of u(x,t).展开更多
文摘In this paper we discuss the quasilinear parabolic equation Ut=△↓(u^α(1-u)^β.△↓u)+B(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 Hoelder continuity of u(x,t).
