Abstract
The asymptotic behavior of solutions as a small parameter tends to zero is determined for a variety of singular-limit PDEs. In some cases even existence for a time independent of the small parameter was not known previously. New examples for which uniform existence does not hold are also presented. Our methods include both an adaptation of geometric optics phase analysis to singular limits and an extension of that analysis in which the characteristic variety determinant condition is supplemented with a periodicity condition.
Original language | English |
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Article number | 26 |
Journal | Nonlinear Differential Equations and Applications |
Volume | 31 |
Issue number | 2 |
DOIs | |
State | Published - Mar 2024 |
Keywords
- 35B25
- 35B40
- Asymptotic behavior
- Phase function
- Singular limit