On the numerical range of second-order elliptic operators with mixed boundary conditions in \(L^p\). (English) Zbl 1487.35201
The authors furnish uniform resolvent estimates for the \(L_p\)-realizations of a second order-elliptic operator with suitable coefficient functions and subject to mixed boundary conditions.
Reviewer: Mohammed El Aïdi (Bogotá)
MSC:
| 35J15 | Second-order elliptic equations |
| 35B65 | Smoothness and regularity of solutions to PDEs |
| 47A12 | Numerical range, numerical radius |
Keywords:
elliptic operator; resolvent estimates; numerical range; mixed boundary conditions; nonsmooth domains; ultracontractivity; dynamic boundary conditions; intrinsic characterisationReferences:
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