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Blowup and ill-posedness for the complex, periodic KdV equation.
- Source :
- Communications in Contemporary Mathematics; Aug2023, Vol. 25 Issue 6, p1-57, 57p
- Publication Year :
- 2023
-
Abstract
- This paper is concerned with complex-valued solutions of the Korteweg–de Vries equation. Interest will be focused upon the initial-value problem with initial data that is periodic in space. Derived here are results of local and global well-posedness, singularity formation in finite time and, perhaps surprisingly, results of non-existence. The overall picture is notably different from the situation that obtains for real-valued solutions. [ABSTRACT FROM AUTHOR]
- Subjects :
- KORTEWEG-de Vries equation
EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 02191997
- Volume :
- 25
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Communications in Contemporary Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 164228311
- Full Text :
- https://doi.org/10.1142/S0219199722500444