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On the equivalence of viscosity and distribution solutions of second-order PDEs with Neumann boundary conditions

Ren, Jiagang; Wu, Jing*; Zheng, Mengqi
Science Citation Index Expanded
中山大学

摘要

We apply a probabilistic approach to prove that the viscosity solutions and the distribution ones to the Neumann problem of second order elliptic and parabolic equations are equivalent.

关键词

Neumann boundary condition Viscosity solution Distribution solution Comparison theorem