【摘要】 对一类非线性抛物方程的局部解进行本性模的估计 .采用局部能量估计及Moser迭代法 ,对具有一定结构条件的非线性抛物方程 ,用解在较大区域上的积分模来估计它的本性模 ,而不依赖问题的初始值和边界值更多还原

【Abstract】 To obtain L ∞ loc estimates for the local solution of nonlinear parabolic equations, local energy estimates and Moser iteration are used. Under some structural conditions, a local sup estimates of the local solution is established in terms of some integral normal of the solution in a larger domain, which is independent of initial and boundary data.更多还原