Smooth Approximations of Solutions to Nonconvex Fully Nonlinear Elliptic Equations
Smooth Approximations of Solutions to Nonconvex Fully Nonlinear Elliptic Equations
复制标题
非凸全非线性椭圆方程解的平滑逼近
DOI：
10.1090/trans2/229/05
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
L. Silvestre
中科院分区：
文献类型：
--
作者：
L. Caffarelli;L. Silvestre
我们证明了完全非线性椭圆型偏微分方程（可能没有经典解）可以用具有C2，α解的积分微分方程来逼近.对于这些近似方程，我们证明了一个一致的C1，α估计.我们还研究了收敛速度。
We show that fully nonlinear elliptic PDEs (which may not have classical solutions) can be approximated with integro-differential equations which have C 2,α solutions. For these approximated equations we prove a uniform C 1,α estimate. We also study the rate of convergence.