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Dirichlet boundary conditions for elliptic operators with unbounded drift |
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| Authors: | A. Lunardi G. Metafune D. Pallara |
| Affiliation: | Dipartimento di Matematica, Università di Parma, Parco Area delle Scienze 53, 43100 Parma, Italy ; Dipartimento di Matematica ``Ennio De Giorgi', Università di Lecce, C.P.193, 73100, Lecce, Italy ; Dipartimento di Matematica ``Ennio De Giorgi', Università di Lecce, C.P.193, 73100, Lecce, Italy |
| Abstract: | We study the realisation  of the operator  in  with Dirichlet boundary condition, where  is a possibly unbounded open set in  ,  is a semi-convex function and the measure  lets  be formally self-adjoint. The main result is that  at  is a dissipative self-adjoint operator in  . |
| Keywords: | Elliptic operators boundary value problems unbounded coefficients |
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