Basis property of a system of functions related to the inverse problem of finding the source

DOI10.1134/S0012266108020134zbMath1184.47006OpenAlexW2042205684MaRDI QIDQ843670

A. B. Kostin

Publication date: 15 January 2010

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266108020134

zbMATH Keywords

Hilbert spacewell-posednessbasis propertyinverse Cauchy problem

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Numerical solution to inverse problems in abstract spaces (65J22) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (3)

Criteria of the uniqueness of solutions and well-posedness of inverse source problems ⋮ Counterexamples in inverse problems for parabolic, elliptic, and hyperbolic equations ⋮ The inverse problem of recovering the source in a parabolic equation under a condition of nonlocal observation

Cites Work

• Unnamed Item
• Semigroups of linear operators and applications to partial differential equations
• Inverse parabolic problems with the final overdetermination

This page was built for publication: Basis property of a system of functions related to the inverse problem of finding the source