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An inverse problem with an unknown coefficient and right-hand side for a parabolic equation. II. (English) Zbl 1142.35626
Summary: This article is a continuation of the author’s paper [J. Inverse Ill-Posed Probl. 10, No. 6, 611–627 (2002; Zbl 1028.35168)]; in contrast to that paper, we study overdetermination conditions for the same inverse problem.

35R30 Inverse problems for PDEs
35K15 Initial value problems for second-order parabolic equations
Zbl 1028.35168
Full Text: DOI
[1] Inv. Ill-Posed Problems 10 (6) pp 630– (2002)
[2] O. A. Ladyzhenskaya and N. N. Ural’tseva, Linear and Quasilinear Equations of Elliptic Type. Nauka, Moscow, 1973 (in Russian).
[3] Novosibirsk 233 pp 254– (2002)
[4] O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Ural’tseva, Linear and Quasilinear Equations of Parabolic Type. Nauka, Moscow, 1967 (in Russian).
[5] Dokl. Akad. Nauk SSSR 138 (4) pp 784– (1961)
[6] Solonnikov A, Trudy MIAN 70 pp 212– (1964)
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