Generation of analytic semi-groups in L² for a class of second order degenerate elliptic operators

• Autorzy: Cannarsa P. , Rocchetti D. , Vancostenoble J.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

degenerate parabolic equation; weighted Sobolev spaces; normal trace theorem; Hardy type inequality

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2008
• Tom: Vol. 37, no 4
• Strony: 831--878
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Cannarsa P.

autor

Rocchetti D.

autor

Vancostenoble J.

• Dipartimento di Matematica, Universita di Roma "Tor Vergata" Via della Ricerca Scientifica 1, 00133 Roma, Italy,

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