Abstract
We study the global existence and asymptotic behaviour of "small" solutions of a large class of nonlinear partial differential equations. If the nonlinear terms are of high degree the solutions will be asymptotic to solutions of the linear equation.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 409-425 |
| Number of pages | 17 |
| Journal | Journal of Differential Equations |
| Volume | 46 |
| Issue number | 3 |
| DOIs | |
| State | Published - Dec 1982 |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
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Cite this
Shatah, J. (1982). Global existence of small solutions to nonlinear evolution equations. Journal of Differential Equations, 46(3), 409-425. https://doi.org/10.1016/0022-0396(82)90102-4