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Numerical methods and programming, 2007, Volume 8, Issue 2, Pages 183–194
(Mi vmp484)
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This article is cited in 1 scientific paper (total in 1 paper)
Вычислительные методы и приложения
Uniqueness theorems and properties of adjoint problems for a class of parabolic equations with the Cauchy data
N. L. Gol'dman Lomonosov Moscow State University, Research Computing Center
Abstract:
The uniqueness problem in Hoelder spaces is studied for the uncharacteristic Cauchy problems arising when determining the unknown right-hand sides of parabolic equations. A relation between this problem and the density properties of the solutions to the corresponding adjoint problems is found.
Keywords:
parabolic equations, Cauchy problem, adjoint problems, uniqueness conditions, Hoelder spaces.
Citation:
N. L. Gol'dman, “Uniqueness theorems and properties of adjoint problems for a class of parabolic equations with the Cauchy data”, Num. Meth. Prog., 8:2 (2007), 183–194
Linking options:
https://www.mathnet.ru/eng/vmp484 https://www.mathnet.ru/eng/vmp/v8/i2/p183
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