A Comparison Principle for the Mean Curvature Flow Equation with Discontinuous Coefficients
We study the level set equation in a bounded domain when the velocity of the interface is given by the mean curvature plus a discontinuous velocity. We prove a comparison principle for the initial-boundary value problem whose consequence is uniqueness of continuous solutions and well- posedness of t...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2016/3627896 |
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| _version_ | 1832552765368303616 |
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| author | Cecilia De Zan Pierpaolo Soravia |
| author_facet | Cecilia De Zan Pierpaolo Soravia |
| author_sort | Cecilia De Zan |
| collection | DOAJ |
| description | We study the level set equation in a bounded domain when the velocity of the interface is given by the mean curvature plus a discontinuous velocity. We prove a comparison principle for the initial-boundary value problem whose consequence is uniqueness of continuous solutions and well- posedness of the level set method. |
| format | Article |
| id | doaj-art-416d030c56654005a3d9cc39a84d5ef6 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-416d030c56654005a3d9cc39a84d5ef62025-02-03T05:57:47ZengWileyInternational Journal of Differential Equations1687-96431687-96512016-01-01201610.1155/2016/36278963627896A Comparison Principle for the Mean Curvature Flow Equation with Discontinuous CoefficientsCecilia De Zan0Pierpaolo Soravia1Dipartimento di Matematica, Università di Padova, Via Trieste 63, 35121 Padova, ItalyDipartimento di Matematica, Università di Padova, Via Trieste 63, 35121 Padova, ItalyWe study the level set equation in a bounded domain when the velocity of the interface is given by the mean curvature plus a discontinuous velocity. We prove a comparison principle for the initial-boundary value problem whose consequence is uniqueness of continuous solutions and well- posedness of the level set method.http://dx.doi.org/10.1155/2016/3627896 |
| spellingShingle | Cecilia De Zan Pierpaolo Soravia A Comparison Principle for the Mean Curvature Flow Equation with Discontinuous Coefficients International Journal of Differential Equations |
| title | A Comparison Principle for the Mean Curvature Flow Equation with Discontinuous Coefficients |
| title_full | A Comparison Principle for the Mean Curvature Flow Equation with Discontinuous Coefficients |
| title_fullStr | A Comparison Principle for the Mean Curvature Flow Equation with Discontinuous Coefficients |
| title_full_unstemmed | A Comparison Principle for the Mean Curvature Flow Equation with Discontinuous Coefficients |
| title_short | A Comparison Principle for the Mean Curvature Flow Equation with Discontinuous Coefficients |
| title_sort | comparison principle for the mean curvature flow equation with discontinuous coefficients |
| url | http://dx.doi.org/10.1155/2016/3627896 |
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