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On the boundary ergodic problem for fully nonlinear equations in bounded domains with general nonlinear Neumann boundary conditions

✍ Scribed by Guy Barles; Francesca Da Lio

Book ID
108052897
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
212 KB
Volume
22
Category
Article
ISSN
0294-1449

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In this paper we consider the heat equation u s ⌬ u in an unbounded domain t N Ε½ . ⍀;R with a partly Dirichlet condition u x, t s 0 and a partly Neumann condition u s u p on the boundary, where p ) 1 and is the exterior unit normal on the boundary. It is shown that for a sectorial domain in R 2 and