The paper contains a complete characterization of the existence of a C_0-semigroup in the space of summable real functions on a real interval generated by a second-order differential operator when suitable boundary conditions at the endpoints are imposed. Namely we consider adjoint Dirichlet boundary conditions, adjoint Neumann boundary conditions and adjoint Ventcel's boundary conditions.

Semigroups generated by ordinary differential operators in L^1(I)

CAMPITI, Michele
2004-01-01

Abstract

The paper contains a complete characterization of the existence of a C_0-semigroup in the space of summable real functions on a real interval generated by a second-order differential operator when suitable boundary conditions at the endpoints are imposed. Namely we consider adjoint Dirichlet boundary conditions, adjoint Neumann boundary conditions and adjoint Ventcel's boundary conditions.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11587/100524
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