We study the generation of analytic semigroups in the L-2 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.
Cannarsa, P., Sforza, D. (2008). A stability result for a class of nonlinear integrodifferential equations with L1 kernels. APPLICATIONS OF MATHEMATICS, 35, 395-430.
A stability result for a class of nonlinear integrodifferential equations with L1 kernels
CANNARSA, PIERMARCO;SFORZA, DANIELE
2008-01-01
Abstract
We study the generation of analytic semigroups in the L-2 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.File in questo prodotto:
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