| Autor: |
Chen, Jun |
| Zdroj: |
Applied Mathematics: A Journal of Chinese Universities; Jun2020, Vol. 35 Issue 2, p157-165, 9p |
| Abstrakt: |
This paper concerns the minimization problem of L2 norm of curl of vector fields prescribed full trace on the boundary of a multiconnected bounded domain. The existence of the minimizers in H1 are shown by orthogonal decompositions of vector function spaces and a constructed auxiliary variational problem. And the H2 estimate of the type II divergence-free part of the minimizers is established by div-curl-gradient type estimates of vector fields. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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