【摘要】 在Rn有界域上考虑一类带有非线性迁移项的平均曲率型方程div{σ(|　Δu|2)　Δu}+b(u)·　Δu=0的第一类初边值问题.主要得到了弱解的存在性,并且给出了解的熄灭性质及解的L∞估计.更多还原

【Abstract】 The paper studies the first initial-boundary value problem in a bounded domain in ~n for the mean curvature equation with a nonlinear convection term:u_t-div{σ(|Δu|~2)Δu}+b(u)·Δu=0.The existence of the weak solution is derived and the quenching phenomena and the L~∞-estimate to the solution are given.更多还原