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 
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     author = {L. M. Kozhevnikova},
     title = {Examples of the {Nonuniqueness} of {Solutions} of the {Mixed} {Problem} for the {Heat} {Equation} in {Unbounded} {Domains}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {67--73},
     publisher = {mathdoc},
     volume = {91},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2012_91_1_a5/}
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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/