Determination of a Diffusion Coefficient in a Quasilinear Parabolic Equation
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Date
2017
Authors
Kanca, Fatma
Journal Title
Journal ISSN
Volume Title
Publisher
De Gruyter Open Ltd
Open Access Color
GOLD
Green Open Access
Yes
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Publicly Funded
No
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Average
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Average
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Abstract
This paper investigates the inverse problem of finding the time-dependent diffusion coefficient in a quasilinear parabolic equation with the nonlocal boundary and integral overdetermination conditions. Under some natural regularity and consistency conditions on the input data the existence uniqueness and continuously dependence upon the data of the solution are shown. Finally some numerical experiments are presented.
Description
Keywords
Heat equation, Inverse problem, Nonlocal boundary condition, Integral overdetermination condition, Time-dependent diffusion coefficient, Nonlocal boundary condition, heat equation, Heat equation, 35k59, 35r30, Time-dependent diffusion coefficient, Inverse problem, integral overdetermination condition, QA1-939, inverse problem, time-dependent diffusion coefficient, Integral overdetermination condition, nonlocal boundary condition, Mathematics, Inverse problems for PDEs, Quasilinear parabolic equations, Overdetermined systems of PDEs with variable coefficients
Fields of Science
01 natural sciences, 0101 mathematics
Citation
WoS Q
Q2
Scopus Q
Q1
OpenCitations Citation Count
1
Source
Open Mathematics
Volume
15
Issue
Start Page
77
End Page
91
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Citations
CrossRef : 1
Scopus : 2
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Mendeley Readers : 2
SCOPUS™ Citations
2
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Web of Science™ Citations
2
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Page Views
3
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Downloads
151
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