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Applied Mathematics-A Journal of Chinese Universities  2020, Vol. 35 Issue (2): 157-165    DOI: 10.1007/s11766-020-3633-1
    
Minimizers of curl prescribed full trace
CHEN Jun
College of Computer and Information Sciences, Fujian Agriculture and Forestry University, Fuzhou 350002, China.
Minimizers of curl prescribed full trace
CHEN Jun
College of Computer and Information Sciences, Fujian Agriculture and Forestry University, Fuzhou 350002, China.
 全文: PDF 
摘要： 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.
关键词： variational problem;  operator curl;  full trace, multiconnected domain;  semilinear degenerate system    
Abstract: 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.
Key words: variational problem    operator curl    full trace, multiconnected domain    semilinear degenerate system
出版日期: 2020-06-01
CLC:  35Q60  
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引用本文:

CHEN Jun. Minimizers of curl prescribed full trace[J]. Applied Mathematics-A Journal of Chinese Universities, 2020, 35(2): 157-165.

CHEN Jun. Minimizers of curl prescribed full trace. Applied Mathematics-A Journal of Chinese Universities, 2020, 35(2): 157-165.

链接本文:

http://www.zjujournals.com/amjcub/CN/10.1007/s11766-020-3633-1    或    http://www.zjujournals.com/amjcub/CN/Y2020/V35/I2/157

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