A Serrin-type problem with partial knowledge of the domain
| Autor: | Enrico Valdinoci, Giorgio Poggesi, Serena Dipierro |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Applied Mathematics
010102 general mathematics Mathematical analysis Laminar flow Type (model theory) 01 natural sciences Stability (probability) Domain (mathematical analysis) Symmetric configuration 010101 applied mathematics Overdetermined system Mathematics - Analysis of PDEs Bounded function FOS: Mathematics 0101 mathematics Analysis Torsional rigidity Mathematics Analysis of PDEs (math.AP) |
| Popis: | We present a quantitative estimate for the radially symmetric configuration concerning a Serrin-type overdetermined problem for the torsional rigidity in a bounded domain Ω ⊂ R N , when the equation is known on Ω ∖ ω ¯ only, for some open subset ω ⋐ Ω . The problem has concrete motivations in optimal heating with malfunctioning, laminar flows and beams with small inhomogeneities. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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