The principle of the positiveness of a solution to a linear inverse problem and its application to the coefficient heat conduction problem

zbMath0961.35179MaRDI QIDQ1594245

I. V. Tikhonov, Aleksey Ivanovic Prilepko

Publication date: 28 January 2001

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

monotonicityuniquenesscoefficient inverse heat conduction problempositiveness of a solution

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Heat equation (35K05) Inverse problems for PDEs (35R30)

Related Items (10)

Inverse problem with nonlocal observation of finding the coefficient multiplying \(u_t\) in the parabolic equation ⋮ On approximation of coefficient inverse problems for differential equations in functional spaces ⋮ On the inverse problem of determining the right-hand side of a parabolic equation under an integral overdetermination condition ⋮ The inverse problem of determining the lower-order coefficient in parabolic equations with integral observation ⋮ Inverse problem of finding the coefficient of a lower derivative in a parabolic equation on the plane ⋮ The inverse problem of recovering the source in a parabolic equation under a condition of nonlocal observation ⋮ Inverse problem of finding the coefficient of \(u\) in a parabolic equation on the basis of a nonlocal observation condition ⋮ Properties of solutions of parabolic equations with unknown coefficients ⋮ Two inverse problems of finding a coefficient in a parabolic equation ⋮ Recovery of the coefficient of \(u_t\) in the heat equation from a condition of nonlocal observation in time

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