On Tikhonov-Petrovskii problem for parabolic equations of second order in non-cylindric domains (Q1333659)
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scientific article; zbMATH DE number 640187
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Tikhonov-Petrovskii problem for parabolic equations of second order in non-cylindric domains |
scientific article; zbMATH DE number 640187 |
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On Tikhonov-Petrovskii problem for parabolic equations of second order in non-cylindric domains (English)
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5 October 1994
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In the present article the uniqueness classes of solutions to the homogeneous Dirichlet problem for general linear second order parabolic equations in non-cylindrical domains are found. These classes depend on the generator of the non-cylindrical domain and are analogs of the generalized Tikhonov-Taklind classes from [\textit{L. I. Kamynin} and \textit{B. N. Khimchenko}, Sib. Mat. Zh. 22, No. 4, 94-113 (1981; Zbl 0501.35013) and ibid. No. 5, 78-109 (1981; Zbl 0501.35040)].
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Tikhonov-Petrovskii problem
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uniqueness classes
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non-cylindrical domains
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0.92080927
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0.9146085
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0.9082274
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