Semi-jets on Boundaries and Well-Posedness of Boundary Value Problems

References

• Barles , G. and Burdeau , J. 1995 . The Dirichlet problem for semilinear second-order degenerate elliptic equations and applications to stochastic exit time control problems . Comm. PDEs , 20 : 129 – 178 .
   Web of Science ®Google Scholar
• Crandall , M.G. , Ishii , H. and Lions , P.L. 1992 . User' Guide to Viscosityy Solutions of Second Order Partial Differential Equations . AMS Bulletin , : 1 – 67 .
   Google Scholar
• Crandall , M.G. and Newcomb , R. 1985 . Viscosity Solutions of Hamilton-Jacobi Equations at the boundary . Proc. Amer. Math. Soc , 94 : 283 – 290 .
   Google Scholar
• Friedman , A. 1964 . Partial Differential Equations of Parabolic type .
   Google Scholar
• Zhonguan Huan The Solvability for Dlrichlet Problems of Degenerate Elliptic Equations of Bellman Type de Gruyter to appear.
   Google Scholar
• Ishii , H. 1991 . Fully Nonlinear Oblique Derivative Problems for Nonlinear Second-order Elliptic PDEs . Duke Mathematics Journal , 62 ( 3 ) : 633 – 661 .
   Web of Science ®Google Scholar
• Oleinik , O.A. and Radekvic , E.V. 1973 . Second Order Equations with Nonnegative Characterisitc Form . AMS, Providence, RI ,
   Google Scholar
• Souganidis , P.E. 1986 . A Remark about Viscosity Solutions at the boundary . Proc. Amer. Math. Soc , 96 : 323 – 330 .
   Google Scholar