Generators with interior degeneracy on spaces of L 2 type


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 semigroups on spaces of L 2 type. Finally, some applications to linear and semilinear parabolic evolution problems and to linear hyperbolic ones are presented. © 2012 Texas State University - San Marcos.

Publication Title

Electronic Journal of Differential Equations

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