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Details for article 28 of 79 found articles
| Title: |
Continuous dependence of solutions of elliptic BVPs on parameters |
| Author: |
Aleksandra Orpel |
| Appeared in: |
Opuscula mathematica |
| Paging: | Volume 26 (2006) nr. 2 pages 351-359 |
| Year: |
2006 |
| Contents: |
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 $\{x_k\}_{k\in N}$ of solutions of the Dirichlet problem discussed here (corresponding to parameters $\{x_k\}_{k\in N}$) converges weakly to $x_0$ (corresponding to $u_0$) in $W^{1,q}_0(\Omega,R)$, provided that $\{x_k\}_{k\in N}$ tends to $u_0$ a.e. in $\Omega$. Our investigation covers both sub and superlinear cases. We apply this result to some optimal control problems. |
| Publisher: |
AGH University of Science and Technology (provided by DOAJ) |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 28 of 79 found articles
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