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Volume 14, Issue 3
Mean Value Theorem and Pohozaev Type Identities of Generalized Greiner Operator and Their Applications

Huiqing Zhang , Pengcheng Niu & Xuebo Luo

J. Part. Diff. Eq., 14 (2001), pp. 220-234.

Published online: 2001-08

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  • Abstract
In this paper, a fundamental solution at the origin and mean value theorem of generalized Greiner operator are given. Then the Hardy type inequality and some Pohozaev type identities are proved. As their applications, some nonexistence results of semilinear nonelliptic equation and unique continuation are discussed.
  • Keywords

Fundamental solution mean value theorem Hardy type inequality Pohozaev type identity nonexistence unique continuation

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@Article{JPDE-14-220, author = {Huiqing Zhang , Pengcheng Niu and Xuebo Luo }, title = {Mean Value Theorem and Pohozaev Type Identities of Generalized Greiner Operator and Their Applications}, journal = {Journal of Partial Differential Equations}, year = {2001}, volume = {14}, number = {3}, pages = {220--234}, abstract = { In this paper, a fundamental solution at the origin and mean value theorem of generalized Greiner operator are given. Then the Hardy type inequality and some Pohozaev type identities are proved. As their applications, some nonexistence results of semilinear nonelliptic equation and unique continuation are discussed.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5481.html} }
TY - JOUR T1 - Mean Value Theorem and Pohozaev Type Identities of Generalized Greiner Operator and Their Applications AU - Huiqing Zhang , Pengcheng Niu & Xuebo Luo JO - Journal of Partial Differential Equations VL - 3 SP - 220 EP - 234 PY - 2001 DA - 2001/08 SN - 14 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5481.html KW - Fundamental solution KW - mean value theorem KW - Hardy type inequality KW - Pohozaev type identity KW - nonexistence KW - unique continuation AB - In this paper, a fundamental solution at the origin and mean value theorem of generalized Greiner operator are given. Then the Hardy type inequality and some Pohozaev type identities are proved. As their applications, some nonexistence results of semilinear nonelliptic equation and unique continuation are discussed.
Huiqing Zhang , Pengcheng Niu and Xuebo Luo . (2001). Mean Value Theorem and Pohozaev Type Identities of Generalized Greiner Operator and Their Applications. Journal of Partial Differential Equations. 14 (3). 220-234. doi:
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