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 - 1982 |
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ASJC Scopus subject areas
- Analysis
Cite this
Global existence of small solutions to nonlinear evolution equations. / Shatah, Jalal.
In: Journal of Differential Equations, Vol. 46, No. 3, 1982, p. 409-425.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Global existence of small solutions to nonlinear evolution equations
AU - Shatah, Jalal
PY - 1982
Y1 - 1982
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0001152880&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0001152880&partnerID=8YFLogxK
U2 - 10.1016/0022-0396(82)90102-4
DO - 10.1016/0022-0396(82)90102-4
M3 - Article
VL - 46
SP - 409
EP - 425
JO - Journal of Differential Equations
JF - Journal of Differential Equations
SN - 0022-0396
IS - 3
ER -