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Viability of moving sets for a nonlinear Neumann problem

✍ Scribed by Lucian Maticiuc; Aurel Răşcanu

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
204 KB
Volume
66
Category
Article
ISSN
0362-546X

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✦ Synopsis

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 ] × D. The result is obtained by a stochastic approach: we study the viability of the moving set K (t, x) for a backward stochastic differential equation and we apply the Feynman-Kac ŗepresentation formula.

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Variational Setting of a Nonlinear Inter
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✍ S. Carillo 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 348 KB

A variational approach is here adopted to investigate a Nonlinear Interaction Problem. Specifically, the equilibrium problem of an elastic body whithin a surrounding media is studied. Accordingly, suitable functionals are introduced in connection with two different models, namely, in turn, first ord