Uniqueness criterion in an inverse problem for an abstract differential equation with nonstationary inhomogeneous term

DOI10.1007/s11006-005-0024-0zbMath1084.34008OpenAlexW2016921814WikidataQ115381854 ScholiaQ115381854MaRDI QIDQ2387844

I. V. Tikhonov, Yu. S. Èĭdel'man

Publication date: 5 September 2005

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-005-0024-0

zbMATH Keywords

inverse problemabstract differential equationuniqueness results

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) One-parameter semigroups and linear evolution equations (47D06) Inverse problems for PDEs (35R30) Applications of operator theory to differential and integral equations (47N20) Linear differential equations in abstract spaces (34G10) Inverse problems involving ordinary differential equations (34A55)

Related Items (15)

On approximation of coefficient inverse problems for differential equations in functional spaces ⋮ Criteria of the uniqueness of solutions and well-posedness of inverse source problems ⋮ Identifying an unknown source term of a parabolic equation in Banach spaces ⋮ On an inverse problem for an abstract differential equation of fractional order ⋮ Counterexamples in inverse problems for parabolic, elliptic, and hyperbolic equations ⋮ Abstract fractional inverse source problem of order \(0<\alpha <1\) in a Banach space ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the determination of the right-hand side in a parabolic equation ⋮ Inverse problems for evolution equations with fractional integrals at boundary-value conditions ⋮ On some inverse problems for first order operator-differential equations ⋮ On approximation of inverse problem for abstract parabolic differential equations in Banach spaces ⋮ Inverse problems for a two-dimensional heat equation with unknown right-hand side ⋮ The inverse problem for the nonhomogeneous oscillation equation on a half-line with a boundary condition of the third kind ⋮ Examples of generalized elementary solutions in linear inverse problems

Cites Work

• An inverse problem for a differential equation in a Banach space and the distribution of zeros of an entire Mittag-Leffler function
• Determination of an unknown non-homogeneous term in a linear partial differential equation .from overspecified boundary data
• On a theorem of Whipple
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