Nonuniqueness of the Cauchy problem for a~parabolic equation
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Boundary problems for differential equations, Tome 91 (1967), pp. 132-145.

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@article{TM_1967_91_a9,
     author = {I. M. Petrushko},
     title = {Nonuniqueness of the {Cauchy} problem for a~parabolic equation},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {132--145},
     publisher = {mathdoc},
     volume = {91},
     year = {1967},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_1967_91_a9/}
}
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I. M. Petrushko. Nonuniqueness of the Cauchy problem for a~parabolic equation. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Boundary problems for differential equations, Tome 91 (1967), pp. 132-145. http://geodesic.mathdoc.fr/item/TM_1967_91_a9/