Iterative solution of elliptic equations
We reduce solution of the Dirichlet problem ($x \in D \subset R^m$) \[ \Delta u(x)+a(x)u(x)=f(x) \quad \mbox{in $D$}, \qquad u=0 \quad \mbox{on $\partial D$} \] to iterative solution of a simpler problem \[ \Delta u=f(x) \; \; \mbox{in $D$}, \; \; u=0 \; \; \mbox{on $\partial D$} \,, \] for which...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2022-07-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=9775 |