Geodesic
On solvability of inverse problems of determining point sources
Matematičeskie zametki SVFU, Tome 29 (2022) no. 2, pp. 43-58 Cet article a éte moissonné depuis la source Math-Net.Ru

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We examine the questions of solvability, uniqueness, and some qualitative properties of solutions to inverse problems of determining point sources (the right-hand side of a special form) in a parabolic equation. We describe the classes of data for which the problem has a solution, present some existence and uniqueness results with data in these classes, and also some asymptotic representations of the Green function of the stationary problem.
Mots-clés : parabolic equation, existence
Keywords: inverse problem, initial-boundary value problem, well-posedness, uniqueness. 
@article{SVFU_2022_29_2_a3,
     author = {S. G. Pyatkov and L. V. Neustroeva},
     title = {On solvability of inverse problems of determining point sources},
     journal = {Matemati\v{c}eskie zametki SVFU},
     pages = {43--58},
     year = {2022},
     volume = {29},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVFU_2022_29_2_a3/}
}
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S. G. Pyatkov; L. V. Neustroeva. On solvability of inverse problems of determining point sources. Matematičeskie zametki SVFU, Tome 29 (2022) no. 2, pp. 43-58. http://geodesic.mathdoc.fr/item/SVFU_2022_29_2_a3/