nonlinear neumann problems on bounded lipschitz domains
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ID: 231319
2005
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Abstract
We prove existence and uniqueness, up to a constant, of an entropy solution to the nonlinear and non homogeneous Neumann problem $$displaylines{ -mathop{ m div}[ mathbf{a}(., abla u)] +eta (u)=f quadhbox{ in } Omega cr frac{partial u}{partial u _{mathbf{a}}}+gamma (au u)=g quad hbox{on } partial Omega,. }$$ Our approach is based essentially on the theory of m-accretive operators in Banach spaces, and in order preserving properties.
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siai2005electronicnonlinear
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| Authors | ;Abdelmajid Siai |
| Journal | icsoft 2006 - 1st international conference on software and data technologies, proceedings |
| Year | 2005 |
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