- Tytuł:
- Continuous dependence of solutions of elliptic BVPs on parameters
- Autorzy:
- Orpel, A.
- Powiązania:
- https://bibliotekanauki.pl/articles/255812.pdf
- Data publikacji:
- 2006
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
continuous dependence on parameters
elliptic Dirichlet problems
optimal control problem - Opis:
- The continuous dependence of solutions for a certain class of elliptic PDE on functional parameters is studied in this paper. The main result is as follow: the sequence {k}k∈N of solutions of the Dirichlet problem discussed here (corresponding to parameters {uk}k∈N) converges weakly to x0 (corresponding to u0) in W1,q 0 (Ω, R), provided that {uk}k∈N tends to u0 a.e. in Ω. Our investigation covers both sub and superlinear cases. We apply this result to some optimal control problems.
- Źródło:
-
Opuscula Mathematica; 2006, 26, 2; 351-359
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł