Sturm-Liouville problems for an abstract differential equation of elliptic type in UMD spaces.

zbMath1224.35418MaRDI QIDQ631427

Mustapha Cheggag, Angelo Favini, Rabah Labbas, Ahmed Medeghri, Stéphane Maingot

Publication date: 23 March 2011

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

Sturm-Liouville problemUMD spacestrict solutionabstract differential equation of elliptic type

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) One-parameter semigroups and linear evolution equations (47D06) Variational methods for second-order elliptic equations (35J20) Linear boundary value problems for ordinary differential equations (34B05) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (8)

Study of an elliptic differential equation: Set in three habitats with skewness boundary conditions at the interfaces in \(L^q\) cases ⋮ Differential Equations of Elliptic Type with Variable Operators and Homogeneous Robin Boundary Value Condition in UMD Spaces ⋮ Nonlocal general boundary value problems of elliptic type in \(L^p\) cases ⋮ On elliptic equations with general non-local boundary conditions in UMD spaces ⋮ New results on abstract elliptic problems with general Robin boundary conditions in Hölder spaces: non commutative cases ⋮ New results on elliptic equations with nonlocal boundary coefficient-operator conditions in UMD spaces: noncommutative cases ⋮ On strong solutions of a Robin problem modelling heat conduction in materials with corroded boundary ⋮ Second order elliptic differential-operator equations with unbounded operator boundary conditions in \(UMD\) Banach spaces

This page was built for publication: Sturm-Liouville problems for an abstract differential equation of elliptic type in UMD spaces.