Geodesic
Examples of the Nonuniqueness of Solutions of the Mixed Problem for the Heat Equation in Unbounded Domains
Matematičeskie zametki, Tome 91 (2012) no. 1, pp. 67-73

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For a wide class of domains of revolution, we construct examples of the nonuniqueness of solutions of the first mixed problem for the heat equation, which supports the exactness of a uniqueness class of Täcklind type.
Keywords: heat equation, Cauchy problem, uniqueness class of Täcklind type, measurable function, Hilbert space, Harnack's inequality.
Mots-clés : domain of revolution 
L. M. Kozhevnikova. Examples of the Nonuniqueness of Solutions of the Mixed Problem for the Heat Equation in Unbounded Domains. Matematičeskie zametki, Tome 91 (2012) no. 1, pp. 67-73. http://geodesic.mathdoc.fr/item/MZM_2012_91_1_a5/
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