Global existence of unique strong solutions is established for the complex Ginzburg-Landau equation The key is a new inequality in monotonicity methods. It is based on the sectorial estimates of -in L p+1 and the nonlinear operator u → u p-1 u appearing in the equation. The key inequality also yiel
Monotonicity method for the complex Ginzburg–Landau equation, including smoothing effect
✍ Scribed by N. Okazawa; T. Yokota
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 431 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0362-546X
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