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Volume 19, Issue 4
A Carleman Estimate on Groups of Heisenberg Type

Junqiang Han & Pengcheng Niu

J. Part. Diff. Eq., 19 (2006), pp. 341-358.

Published online: 2006-11

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  • Abstract

A Pohozaev-Rellich type identity for the p-sub-Laplacian on groups of Heisenberg type, G, is given. A Carleman estimate for the sub-Laplacian on G is established and, as a consequence, a unique continuation result is proved.

  • Keywords

Pohozaev-Rellich type identity Carleman estimate unique continuation sub-Laplacian group of Heisenberg type

  • AMS Subject Headings

35H99 43A80.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-19-341, author = {Junqiang Han and Pengcheng Niu }, title = {A Carleman Estimate on Groups of Heisenberg Type}, journal = {Journal of Partial Differential Equations}, year = {2006}, volume = {19}, number = {4}, pages = {341--358}, abstract = {

A Pohozaev-Rellich type identity for the p-sub-Laplacian on groups of Heisenberg type, G, is given. A Carleman estimate for the sub-Laplacian on G is established and, as a consequence, a unique continuation result is proved.

}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5337.html} }
TY - JOUR T1 - A Carleman Estimate on Groups of Heisenberg Type AU - Junqiang Han & Pengcheng Niu JO - Journal of Partial Differential Equations VL - 4 SP - 341 EP - 358 PY - 2006 DA - 2006/11 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5337.html KW - Pohozaev-Rellich type identity KW - Carleman estimate KW - unique continuation KW - sub-Laplacian KW - group of Heisenberg type AB -

A Pohozaev-Rellich type identity for the p-sub-Laplacian on groups of Heisenberg type, G, is given. A Carleman estimate for the sub-Laplacian on G is established and, as a consequence, a unique continuation result is proved.

Junqiang Han and Pengcheng Niu . (2006). A Carleman Estimate on Groups of Heisenberg Type. Journal of Partial Differential Equations. 19 (4). 341-358. doi:
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