On strong solutions of a Robin problem modelling heat conduction in materials with corroded boundary
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Date
2012
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Pergamon-elsevier Science Ltd
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.
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Keywords
Differential-operator equations, Robin problem, Interpolation of Banach spaces, Semigroup estimates, Operator-valued Fourier multipliers
Turkish CoHE Thesis Center URL
Citation
22
WoS Q
Q2
Scopus Q
Q1
Source
Volume
13
Issue
1
Start Page
441
End Page
451