- Tytuł:
- Localizations of partial differential operators and surjectivity on real analytic functions
- Autorzy:
- Langenbruch, Michael
- Powiązania:
- https://bibliotekanauki.pl/articles/1206083.pdf
- Data publikacji:
- 2000
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
partial differential operator
real analytic function
elementary solution
hyperbolicity
local hyperbolicity - Opis:
- Let P(D) be a partial differential operator with constant coefficients which is surjective on the space A(Ω) of real analytic functions on an open set $ Ω ⊂ ℝ^n$. Then P(D) admits shifted (generalized) elementary solutions which are real analytic on an arbitrary relatively compact open set ω ⊂ ⊂ Ω. This implies that any localization $P_{m,Θ}$ of the principal part $P_m$ is hyperbolic w.r.t. any normal vector N of ∂Ω which is noncharacteristic for $P_{m,Θ}$. Under additional assumptions $P_m$ must be locally hyperbolic.
- Źródło:
-
Studia Mathematica; 2000, 140, 1; 15-40
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł