VANNINATHAN, M. ; GOWDA, G. D. VEERAPPA (1985) On The Regularity Of The Variational Solution Of The Tricomi Problem In The Elliptic Region ESAIM: Mathematical Modelling and Numerical Analysis, 19 (2). pp. 327-340. ISSN 0764-583X
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Official URL: https://www.esaim-m2an.org/articles/m2an/pdf/1985/...
Abstract
We consider the weak solution of the Tricomi problem in the elliptic région which satisfies a non-local boundary condition on the parabolic line. We discuss the regularity of its second order derivatives in weighted Sobolev spaces. The existence of a one-dimensional space of singularity is proved and it is explicity found. This is useful in the finite element approximation of the weak solution.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to EDP Sciences. |
| ID Code: | 119777 |
| Deposited On: | 17 Jun 2021 05:32 |
| Last Modified: | 17 Jun 2021 05:32 |
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