论文标题
$ l^{p} $ - 针对具有倾斜边界条件的完全非线性抛物线方程的解决方案的Hessians的估计
$L^{p}$-estimates for the Hessians of solutions to fully nonlinear parabolic equations with oblique boundary conditions
论文作者
论文摘要
我们以倾斜边界条件为非散发形式的完全非线性抛物线方程。通过证明对斜边界问题的粘度解决方案的HESSIAN的最佳和全局calderón-Zygmund估计值与$ l^{p} $中的非均匀术语在非线性操作员的最低规律性要求下，在非线性操作员的最低规则性要求下，边界数据和DOMAIN边界一样。
We study fully nonlinear parabolic equations in nondivergence form with oblique boundary conditions. An optimal and global Calderón-Zygmund estimate is obtained by proving that the Hessian of the viscosity solution to the oblique boundary problem is as integrable as the nonhomogeneous term in $L^{p}$ spaces under minimal regularity requirement on the nonlinear operator, the boundary data and the boundary of the domain.
