科研之友
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摘要
To study fine properties of certain smooth approximations u(epsilon) to a viscosity solution u of the infinity Laplacian partial differential equation (PDE), we introduce Green's function se for the linearization. We can then integrate by parts with respect to se and derive various useful integral estimates. We are, in particular, able to use these estimates (i) to prove the everywhere differentiability of u and (ii) to rigorously justify interpreting the infinity Laplacian equation as a parabolic PDE.
- 出版日期2011-7
