Study of complete abstract elliptic differential equations in non-commutative cases

DOI10.1080/00036811.2011.635652zbMath1268.34106OpenAlexW2072661027WikidataQ58169982 ScholiaQ58169982MaRDI QIDQ2909377

Maëlis Meisner, Stéphane Maingot, Rabah Labbas, Angelo Favini

Publication date: 30 August 2012

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2011.635652

zbMATH Keywords

analytic semigroupmaximal regularitynon-commutative casesecond-order abstract elliptic differential equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) One-parameter semigroups and linear evolution equations (47D06) Linear differential equations in abstract spaces (34G10)

Cites Work

• Some results on the sum of linear operator with nondense domains
• Maximal \(L^{p}\)-regularity for parabolic and elliptic equations on the line
• On the abstract Cauchy problem of parabolic type in spaces of continuous functions
• Sums of generators of analytic semigroups and multivalued linear operators
• Complete Abstract Differential Equations of Elliptic Type in UMD Spaces
• A Simplified Approach in the Study of Elliptic Differential Equations in UMD Spaces and New Applications