Uniqueness of a solution to the Cauchy problem for parabolic systems (Q334430)
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scientific article; zbMATH DE number 6646136
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniqueness of a solution to the Cauchy problem for parabolic systems |
scientific article; zbMATH DE number 6646136 |
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Uniqueness of a solution to the Cauchy problem for parabolic systems (English)
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1 November 2016
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In this paper, the authors prove that the Cauchy problem for a second order Petrovskii parabolic system with bounded and continuous coefficients that are Dini continuous with respect to \(x\) has a unique classical solution in the Tikhonov class. No additional smoothness assumptions are made about the derivatives of the solution.
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parabolic systems
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uniqueness
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Tikhonov class, Dini continuous coefficients
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0.9987794
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0.96394116
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0.95623446
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0.9561784
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0.95419306
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0.95292753
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0.9428216
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