https://dispersivewiki.org/DispersiveWiki/index.php?title=Nonlinearity&feed=atom&action=historyNonlinearity - Revision history2024-03-29T13:12:49ZRevision history for this page on the wikiMediaWiki 1.39.3https://dispersivewiki.org/DispersiveWiki/index.php?title=Nonlinearity&diff=4979&oldid=prevWikiSysop at 20:11, 11 June 20072007-06-11T20:11:21Z<p></p>
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</td></tr></table>WikiSysophttps://dispersivewiki.org/DispersiveWiki/index.php?title=Nonlinearity&diff=3383&oldid=prevTao at 04:25, 8 August 20062006-08-08T04:25:18Z<p></p>
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One can classify the degree of '''nonlinearity''' in a PDE according to the following categories (from most linear to most nonlinear):<br />
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* [[Linear]] equations<br />
* [[Semilinear]] equations<br />
* [[Semilinear|semilinear-with-derivatives]] equations<br />
* [[Quasilinear]] equations<br />
* [[Fully nonlinear]] equations<br />
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It should not be surprising that as an equation becomes more nonlinear, it becomes more difficult to analyze. In particular, iterative methods tend to work well only for semilinear equations, as well as some (but not all) semilinear-with-derivative equations.<br />
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[[Category:Concept]]</div>Tao