Degenerate first-order inverse problems in Banach spaces

We are concerned with an inverse problem for a degenerate linear evolution equation of first-order. Both hyperbolic and parabolic cases will be considered. We indicate sufficient conditions for the existence and uniqueness of a solution. All the results can be applied to inverse problems for equatio...

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Bibliographic Details
Published in:Nonlinear analysis Vol. 75; no. 1; pp. 68 - 77
Main Authors: Al Horani, Mohammed, Favini, Angelo
Format: Journal Article
Language:English
Published: Amsterdam Elsevier Ltd 2012
Elsevier
Subjects:
[formula omitted]-semigroup
Analytic semigroup
Banach space
Exact sciences and technology
First-order problem
Functional analysis
Group theory
Group theory and generalizations
Inverse problem
Inverse problems
Linear evolution equations
Mathematical analysis
Mathematics
Nonlinearity
Numerical analysis
Numerical analysis in abstract spaces
Numerical analysis. Scientific computation
Partial differential equations
Sciences and techniques of general use
Theorems
Uniqueness
Analytic semigroup
c 0 -semigroup
First-order problem
Inverse problem
First order equation
c
Nonlinear analysis
Semigroup
Banach space
Mathematical model
Degenerate equation
ISSN:0362-546X, 1873-5215
Online Access:Get full text
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Summary:We are concerned with an inverse problem for a degenerate linear evolution equation of first-order. Both hyperbolic and parabolic cases will be considered. We indicate sufficient conditions for the existence and uniqueness of a solution. All the results can be applied to inverse problems for equations from mathematical physics. As a possible application of the abstract theorems, some examples of partial differential equations are given.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2011.08.001