Category:Quasilinear equations and MediaWiki:Sidebar: Difference between pages

Revision as of 12:51, 23 February 2012

The following 2 pages are in this category, out of 2 total.

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-A quasilinear equation is one that is linear in all but the terms involving the highest order derivatives (whether they are of fractional order or not). For instance, the following equations are all quasilinear (and not semilinear)
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+** mainpage|mainpage-description
-\[ \mbox{div} \left ( \frac{\nabla u}{\sqrt{1+|\nabla u|^2}}\right ) = 0 \]
+** starting_page|Starting page
-\[ u_t = \mbox{div} \left ( u^p \nabla u\right ) \]
+** currentevents-url|To Do List
-\[ u_t+(-\Delta)^{s} u +H(x,t,u,\nabla u)=0\;\; (2s>1) \]
+** recentchanges-url|recentchanges
+** randompage-url|randompage
-Equations which are not quasilinear are called [[Fully nonlinear]]. Note that all [[Semilinear equations]] are automatically quasilinear.
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+** helppage|help
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