二阶线性非散度型抛物方程解的局部正则性估计

Local Regularity for the Linear Second-Order Parabolic Equation in Nondivergence Form

发展了Acerbi等的方法,得到了一类具有小BMO系数的二阶线性非散度型抛物方程解的二阶偏导数在Orlicz空间中的局部正则性估计。这种正则性估计可以应用于W2p,1解的存在性问题。

By developing the method of Acerbi et al, the authors obtain local regularity in Orlicz spaces for the linear second-order parabolic equations with small BMO coefficients in nondivergence form. Such regularity estimates can be applied to the study of the existence of solutions in Wp^2,1.