Boundary value problems for Dirac operators and Maxwell's equations in non‐smooth domains
Boundary value problems for Dirac operators and Maxwell's equations in non‐smooth domains
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DOI：
10.1002/mma.375
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发表时间：
2002-11
影响因子：
2.9
通讯作者：
M. Mitrea
中科院分区：
文献类型：
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作者：
M. Mitrea
我们研究了三维Lipschitz区域上Dirac算子的半Dirichlet和Poisson问题的适定性，特别强调了最优的Lebesgue型和Sobolev-Besov估计。作为应用，设计了麦克斯韦系统的椭圆化过程。版权所有©2002 John Wiley&Sons，Ltd.
We study the well‐posedness of the half‐Dirichlet and Poisson problems for Dirac operators in three‐dimensional Lipschitz domains, with a special emphasis on optimal Lebesgue and Sobolev‐Besov estimates. As an application, an elliptization procedure for the Maxwell system is devised. Copyright © 2002 John Wiley & Sons, Ltd.