Resolution, in \(L^{p}\)-spaces, of transmission problems set in an unbounded domains

DOI10.1016/j.amc.2011.11.054zbMath1248.34094OpenAlexW1981674783MaRDI QIDQ426619

Kheira Limam

Publication date: 11 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.11.054

zbMATH Keywords

analytic semigroupsbounded imaginary powerstransmission problemUMD spacesthis layers

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20)

Related Items (2)

Ground-state solutions to a Kirchhoff-type transmission problem ⋮ Ground-state solutions to Kirchhoff-type transmission problems with critical perturbation

Cites Work

• Study of the limit of transmission problems in a thin layer by the sum theory of linear operators
• Fractional powers of closed operators and the semigroups generated by them
• Some remarks on Banach spaces in which martingale difference sequences are unconditional
• Study of boundary value and transmission problems in the Hölder spaces
• Semigroups of linear operators and applications to partial differential equations
• A geometrical characterization of Banach spaces in which martingale difference sequences are unconditional
• On the closedness of the sum of two closed operators
• On the resolution of the heat equation with discontinuous coefficients
• Transmission problems in a thin layer set in the framework of the Hölder spaces: resolution and impedance concept
• On a class of interpolation spaces
• Complete Abstract Differential Equations of Elliptic Type in UMD Spaces
• Analytic semigroups and optimal regularity in parabolic problems
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