From DispersiveWiki
Revision as of 04:25, 8 August 2006 by Tao (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigationJump to search

One can classify the degree of nonlinearity in a PDE according to the following categories (from most linear to most nonlinear):

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.