Please use this identifier to cite or link to this item:
doi:10.22028/D291-26311
Title: | Estimates for the deviation from exact solutions of variational problems with power growth functionals |
Author(s): | Bildhauer, Michael Repin, Sergey |
Language: | English |
Year of Publication: | 2005 |
DDC notations: | 510 Mathematics |
Publikation type: | Other |
Abstract: | We study the nonlinear power growth variational problem J_{\alpha}[w]:=\int_{\Omega}\left[\frac{1}{\alpha}\left|\nabla w\right|^{\alpha}-fw\right]dx\rightarrow\textrm{min} and establish directly computable estimates for the deviation from exact solutions. In the case of superquadratic growth, these estimates are given in terms of the energy norm, in the subquadratic case we pass to estimates for the solution of the dual variational problem. Various boundary conditions are included in our considerations. |
Link to this record: | urn:nbn:de:bsz:291-scidok-46172 hdl:20.500.11880/26367 http://dx.doi.org/10.22028/D291-26311 |
Series name: | Preprint / Fachrichtung Mathematik, Universität des Saarlandes |
Series volume: | 149 |
Date of registration: | 15-Feb-2012 |
Faculty: | MI - Fakultät für Mathematik und Informatik |
Department: | MI - Mathematik |
Collections: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
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File | Description | Size | Format | |
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preprint_149_05.pdf | 171,42 kB | Adobe PDF | View/Open |
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