- Tytuł:
- Convergence of power series along vector fields and their commutators; a Cartan-Kähler type theorem
- Autorzy:
- Jakubczyk, B.
- Powiązania:
- https://bibliotekanauki.pl/articles/1207968.pdf
- Data publikacji:
- 2000
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
control systems
Cartan-Kähler theorem
power series
convergence
commutators
Cauchy estimates
vector fields - Opis:
- We study convergence of formal power series along families of formal or analytic vector fields. One of our results says that if a formal power series converges along a family of vector fields, then it also converges along their commutators. Using this theorem and a result of T. Morimoto, we prove analyticity of formal solutions for a class of nonlinear singular PDEs. In the proofs we use results from control theory.
- Źródło:
-
Annales Polonici Mathematici; 2000, 74, 1; 117-132
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł