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Counterexamples in inverse problems for parabolic, elliptic, and hyperbolic equations. (Russian, English) Zbl 1313.35368

Zh. Vychisl. Mat. Mat. Fiz. 54, No. 5, 779- 792 (2014); translation in Comput. Math. Math. Phys. 54, No. 5, 797-810 (2014).
Summary: Examples of inverse problems of source reconstruction with nonunique solutions are constructed. Problems for parabolic, elliptic, and hyperbolic equations are considered. Additional data (overdetermination) is specified as a final observation condition.

MSC:

35R30 Inverse problems for PDEs
Full Text: DOI

References:

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