Carleman estimate for second order elliptic equations with Lipschitz leading coefficients and jumps at an interface
In this paper we prove a local Carleman estimate for second order elliptic equations with a general anisotropic Lipschitz coefficients having a jump at an interface. Our approach does not rely on the techniques of microlocal analysis. We make use of the elementary method so that we are able to impos...
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| creator | Di Cristo, M Francini, E Lin, C. -L Vessella, S Wang, J. -N |
| description | In this paper we prove a local Carleman estimate for second order elliptic
equations with a general anisotropic Lipschitz coefficients having a jump at an
interface. Our approach does not rely on the techniques of microlocal analysis.
We make use of the elementary method so that we are able to impose almost
optimal assumptions on the coefficients and, consequently, the interface. |
| doi_str_mv | 10.48550/arxiv.1505.06084 |
| format | Article |
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equations with a general anisotropic Lipschitz coefficients having a jump at an
interface. Our approach does not rely on the techniques of microlocal analysis.
We make use of the elementary method so that we are able to impose almost
optimal assumptions on the coefficients and, consequently, the interface.</description><identifier>DOI: 10.48550/arxiv.1505.06084</identifier><language>eng</language><subject>Mathematics - Analysis of PDEs</subject><creationdate>2015-05</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1505.06084$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1505.06084$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Di Cristo, M</creatorcontrib><creatorcontrib>Francini, E</creatorcontrib><creatorcontrib>Lin, C. -L</creatorcontrib><creatorcontrib>Vessella, S</creatorcontrib><creatorcontrib>Wang, J. -N</creatorcontrib><title>Carleman estimate for second order elliptic equations with Lipschitz leading coefficients and jumps at an interface</title><description>In this paper we prove a local Carleman estimate for second order elliptic
equations with a general anisotropic Lipschitz coefficients having a jump at an
interface. Our approach does not rely on the techniques of microlocal analysis.
We make use of the elementary method so that we are able to impose almost
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equations with a general anisotropic Lipschitz coefficients having a jump at an
interface. Our approach does not rely on the techniques of microlocal analysis.
We make use of the elementary method so that we are able to impose almost
optimal assumptions on the coefficients and, consequently, the interface.</abstract><doi>10.48550/arxiv.1505.06084</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Analysis of PDEs |
| title | Carleman estimate for second order elliptic equations with Lipschitz leading coefficients and jumps at an interface |
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