| Status | 已發表Published |
| Integral representation and asymptotic behavior ofharmonic functions in half space | |
Zhang, Y.H.; Kou, K. I.; Deng, G.T.
| |
| 2014-06-12 | |
| Source Publication | Journal of Differential Equations
 |
| ISSN | 0022-0396 |
| Pages | 2753-2764 |
| Abstract | Using Carleman’s formula of aharmonic function in the half space and Nevanlinna’s representation of aharmonic function in the half sphere, we prove that aharmonic function, whose positive part satisfies aslowly growing condition, can be represented by acertain integral. This improves some classical Poisson integrals for harmonic functions. |
| Keyword | Carleman’s formula Nevanlinna’s representation Integral representation Growth |
| Language | 英語English |
| The Source to Article | PB_Publication |
| PUB ID | 23521 |
| Document Type | Journal article |
| Collection | DEPARTMENT OF MATHEMATICS |
| Corresponding Author | Deng, G.T. |
| Recommended Citation GB/T 7714 | Zhang, Y.H.,Kou, K. I.,Deng, G.T.. Integral representation and asymptotic behavior ofharmonic functions in half space[J]. Journal of Differential Equations, 2014, 2753-2764. |
| APA | Zhang, Y.H.., Kou, K. I.., & Deng, G.T. (2014). Integral representation and asymptotic behavior ofharmonic functions in half space. Journal of Differential Equations, 2753-2764. |
| MLA | Zhang, Y.H.,et al."Integral representation and asymptotic behavior ofharmonic functions in half space".Journal of Differential Equations (2014):2753-2764. |
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