We consider operators in divergence and in nondivergence form with degeneracy at the interior of the space domain. Characterizing the domain of the operators, we prove that they generate positive analytic semigroupson spaces of L^2 type.Finally, some applications to linear and semilinear parabolic evolution problems and to linear hyperbolic ones are presented.
Generators with interior degeneracy on spaces of $L^2$ type
FRAGNELLI, Genni;ROMANELLI, Silvia
2012-01-01
Abstract
We consider operators in divergence and in nondivergence form with degeneracy at the interior of the space domain. Characterizing the domain of the operators, we prove that they generate positive analytic semigroupson spaces of L^2 type.Finally, some applications to linear and semilinear parabolic evolution problems and to linear hyperbolic ones are presented.File in questo prodotto:
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