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Regularity of generalized solutions to the neumann problem for higher-order equations

✍ Scribed by V. N. Aldokhina

Publisher
Springer US
Year
1996
Tongue
English
Weight
965 KB
Volume
80
Category
Article
ISSN
1573-8795

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πŸ“œ SIMILAR VOLUMES

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We describe regularity results for viscosity solutions of a fully nonlinear (possible degenerate) second-order elliptic PDE with inhomogeneous Neumann boundary condition holding in the generalized sense. These results only require that 0 is uniformly convex, 0 # C 1, / for some / # (0, 1) and that t

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## Abstract Rewriting the higher order Poisson equation Ξ”^__n__^ __u__ = __f__ in a plane domain as a system of Poisson equations it is immediately clear what boundary conditions may be prescribed in order to get (unique) solutions. Neumann conditions for the Poisson equation lead to higher‐order N