Matematik Bölümü Seminerleri : Operational Second Order Differential Equation of Elliptic type with Nonlocal Boundary Coefficient-operator Conditions in General L^{p} Sobolev Spaces: Noncommutative Cases
Konu : Operational Second Order Differential Equation of Elliptic type with Nonlocal Boundary Coefficient-operator Conditions in General L^{p} Sobolev Spaces: Noncommutative Cases
Tarih: 11.03.2020
Yer: Matematik Bölümü D-II
Özet: This work is devoted to the abstract study of operational second order differential equations of elliptic type with nonregular coefficient-operator boundary conditions in a non commutative framework. The study is performed when the second member f belongs to L^{p}(0,1;X), with general p∈]1,+∞[, X being a UMD Banach space. We give some new results by using semigroups and interpolation theory. Existence, uniqueness and optimal regularity of the classical solution are proved.
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