Nonlocal general boundary value problems of elliptic type in \(L^p\) cases
From MaRDI portal
Publication:305818
DOI10.1007/s00009-015-0608-1zbMath1352.35025OpenAlexW2237063133MaRDI QIDQ305818
Houari Hammou, Rabah Labbas, Stéphane Maingot, Ahmed Medeghri
Publication date: 31 August 2016
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-015-0608-1
nonlocal boundary conditionssemigroup theoryfractional powers of operatorsinterpolation spacesUMD spaces
Boundary value problems for second-order elliptic equations (35J25) Second-order elliptic equations (35J15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Linear differential equations in abstract spaces (34G10)
Related Items
New results on elliptic equations with nonlocal boundary coefficient-operator conditions in UMD spaces: noncommutative cases ⋮ Unnamed Item ⋮ On general Bitsadze-Samarskii problems of elliptic type in \(L^p\) cases
Cites Work
- Unnamed Item
- Boundary value problem for elliptic differential equations in non-commutative cases
- Sturm-Liouville problems for an abstract differential equation of elliptic type in UMD spaces.
- Elliptic problems with nonlocal boundary conditions and Feller semigroups
- Fractional powers of closed operators and the semigroups generated by them
- A note on efficient techniques for the second-order parabolic equation subject to non-local conditions
- On operators with bounded imaginary powers in Banach spaces
- Sommes d'opérateurs linéaires et équations différentielles opérationnelles
- Imaginary powers of elliptic second order differential operators in \(L^ p\)-spaces
- On the closedness of the sum of two closed operators
- Semigroup estimates and noncoercive boundary value problems
- The functional calculus for sectorial operators
- Nonclassical boundary value problems. I. Transl. from the Russian
- Second order abstract differential equations of elliptic type set in ℝ+
- On some elliptic problems with nonlocal boundary coefficient-operator conditions in the framework of Hölderian spaces
