On strong solutions of a Robin problem modelling heat conduction in materials with corroded boundary

dc.contributor.author Shahmurov, Rishad
dc.date.accessioned 2024-05-25T11:24:19Z
dc.date.available 2024-05-25T11:24:19Z
dc.date.issued 2012
dc.department Okan University en_US
dc.department-temp [Shahmurov, Rishad] Univ Alabama, Dept Math, Tuscaloosa, AL 35487 USA; [Shahmurov, Rishad] Okan Univ, Vocat High Sch, TR-34959 Istanbul, Turkey en_US
dc.description.abstract Motivated by a practical problem on a corrosion process, we shall study a third kind of BVP for a large class of elliptic equations in vector-valued L-p spaces. Particularly we will determine optimal spaces for boundary data and get maximal regularity for inhomogeneous equations. Then based on these results we shall treat some nonlinear problems. Our approach will be based on the semigroup theory, the interpolation theory of Banach spaces, fractional powers of positive operators, operator-valued Fourier multiplier theorems and the Banach fixed point theorem. (C) 2011 Elsevier Ltd. All rights reserved. en_US
dc.identifier.citationcount 22
dc.identifier.doi 10.1016/j.nonrwa.2011.07.047
dc.identifier.endpage 451 en_US
dc.identifier.issn 1468-1218
dc.identifier.issue 1 en_US
dc.identifier.scopusquality Q1
dc.identifier.startpage 441 en_US
dc.identifier.uri https://doi.org/10.1016/j.nonrwa.2011.07.047
dc.identifier.uri https://hdl.handle.net/20.500.14517/804
dc.identifier.volume 13 en_US
dc.identifier.wos WOS:000295954500042
dc.identifier.wosquality Q2
dc.institutionauthor Shahmurov, Rishad
dc.language.iso en
dc.publisher Pergamon-elsevier Science Ltd en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.subject Differential-operator equations en_US
dc.subject Robin problem en_US
dc.subject Interpolation of Banach spaces en_US
dc.subject Semigroup estimates en_US
dc.subject Operator-valued Fourier multipliers en_US
dc.title On strong solutions of a Robin problem modelling heat conduction in materials with corroded boundary en_US
dc.type Article en_US
dc.wos.citedbyCount 22

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