Ill-posedness for the Burgers equation in Sobolev spaces
Publication details: New Delhi Springer 2024Edition: Vol.55(1), MarDescription: 189-197pSubject(s): Online resources: In: Indian journal of pure and applied mathematicsSummary: In this paper, we consider the Cauchy problem for the Burgers equation in the line. We shall prove that this problem is ill-posed in the Sobolev space with in the sense of “norm inflation” by constructing an explicit example of initial data.| Item type | Current library | Status | Barcode | |
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School of Engineering & Technology Archieval Section | Not for loan | 2024-1558 |
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In this paper, we consider the Cauchy problem for the Burgers equation in the line. We shall prove that this problem is ill-posed in the Sobolev space with in the sense of “norm inflation” by constructing an explicit example of initial data.
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