Second-Order Differential Operators with Non-Local Ventcel`s Boundary Conditions

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Constructive Mathematical Analysis
Volume:2 Issue:4
Second-Order Differential Operators with Non-Local Ventcel`s Boundary Conditions

Second-Order Differential Operators with Non-Local Ventcel`s Boundary Conditions

Pages : 144-152

View : 44 | Download : 9

Publication Date : 2019-12-01

Article Type : Research Paper

Abstract :Different boundary conditions have been introduced for second-order differential operators and the properties of the operators on the corresponding domains have been deeply investigated since the work of Feller. The aim of this paper is to study second-order differential operators satisfying a Ventcel`s type boundary condition which involves simultaneously both the endpoints of a real interval. We study different general properties and a resolvent estimate for this kind of operators.
Keywords : Ventcel`s Type Boundary Conditions, Second Order Differential Operators, Boundary Conditions

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