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A contribution to stability theory for nonlinear Neumann problem

✍ Scribed by Fausto Acanfora


Book ID
118815381
Publisher
Springer Milan
Year
2012
Tongue
Italian
Weight
135 KB
Volume
61
Category
Article
ISSN
0035-5038

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Viability of moving sets for a nonlinear
✍ Lucian Maticiuc; Aurel RΔƒΕŸcanu πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 204 KB

We prove that there exists a viscosity solution of a nonlinear Neumann problem which stays, under some sufficient conditions, in a prescribed set of time-space dependent constraints K (t, x), (t, x) ∈ [0, T ] Γ— D. The result is obtained by a stochastic approach: we study the viability of the moving