- Tytuł:
- Generation of analytic semi-groups in L² for a class of second order degenerate elliptic operators
- Autorzy:
-
Cannarsa, P.
Rocchetti, D.
Vancostenoble, J. - Powiązania:
- https://bibliotekanauki.pl/articles/970294.pdf
- Data publikacji:
- 2008
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
degenerate parabolic equation
weighted Sobolev spaces
normal trace theorem
Hardy type inequality - Opis:
- We study the generation of analytic semigroups in the L² topology by second order elliptic operators in divergence form, that may degenerate at the boundary of the space domain. Our results, that hold in two space dimensions, guarantee that the solutions of the corresponding evolution problems support integration by parts. So, this paper provides the basis for deriving Carleman type estimates for degenerate parabolic operators.
- Źródło:
-
Control and Cybernetics; 2008, 37, 4; 831-878
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł