Journal of Inverse and Ill-posed Problems
Editor-in-Chief: Kabanikhin, Sergey I.
6 Issues per year
IMPACT FACTOR 2016: 0.783
5-year IMPACT FACTOR: 0.792
CiteScore 2016: 0.80
SCImago Journal Rank (SJR) 2015: 0.583
Source Normalized Impact per Paper (SNIP) 2015: 1.106
Mathematical Citation Quotient (MCQ) 2015: 0.43
Solving a scalar degenerate multidimensional identification problem in a Banach space
- Department of Mathematics and Mechanics, Ivan Franko National University of Lviv, Universitetska St. 1, 79000, Lviv, Ukraine. Email: email@example.com
- Dipartimento di Matematica “F. Enriques”, Università degli Studi di Milano, Via Saldini 50, 20133 Milano, Italy. Email: firstname.lastname@example.org
- Department of Mathematics and Mechanics, Ivan Franko National University of Lviv, Universitetska St. 1, 79000, Lviv, Ukraine. Email: email@example.com
We recover a non-negative time-dependent function, vanishing only at t = 0, in a linear multi-dimensional parabolic equation with a power degeneration. First we prove an existence and uniqueness result for an identification problem in a general Banach space via Semigroup Theory. Then we apply such a result to our specific linear parabolic equation related to a smooth bounded domain in ℝn.
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