Generators with interior degeneracy on spaces of L^2 type
Copyright policy )Generators with interior degeneracy on spaces of L^2 type
This paper establishes several qualitative properties of some second order differential operators on the real axis. The authors study both operators in divergence form and in non divergence form. There are distinguished several cases, including the weakly degenerate case and the strongly degenerate one. The main abstract results characterize the domain of the operators and establish that they generate positive analytic semigroups on \(L^2\)-type spaces. Applications to semilinear degenerate parabolic systems and linear hyperbolic evolution problems are provided in the final part of the present paper.
Linear symmetric and selfadjoint operators (unbounded), One-parameter semigroups and linear evolution equations, Applications of operator theory to differential and integral equations, linear hyperbolic equations, QA1-939, General theory of ordinary differential operators, Degenerate operators in divergence and non divergence form, Degenerate parabolic equations, degenerate operators in divergence and non-divergence form, linear and semiliner parabolic equations, Mathematics
Linear symmetric and selfadjoint operators (unbounded), One-parameter semigroups and linear evolution equations, Applications of operator theory to differential and integral equations, linear hyperbolic equations, QA1-939, General theory of ordinary differential operators, Degenerate operators in divergence and non divergence form, Degenerate parabolic equations, degenerate operators in divergence and non-divergence form, linear and semiliner parabolic equations, Mathematics
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