Elliptic theory of differential edge operators, II: boundary value problems
Elliptic theory of differential edge operators, II: boundary value problems
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DOI：
10.1512/iumj.2014.63.5435
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发表时间：
2013-07
期刊：
影响因子：
--
通讯作者：
R. Mazzeo;Boris Vertman
中科院分区：
文献类型：
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作者：
R. Mazzeo;Boris Vertman
这是第一作者发展边退化椭圆型微分算子理论的继续。第一篇论文处理基本的映射理论，侧重于半Fredholm性质加权Sobolev和H\“旧空间和规律性的形式渐近展开的解决方案。本文件建立在此基础上，通过制定的边界条件和相关的边界问题的参数的建设。如前所述，重点是参数和广义逆的Schwartz核的几何微局部结构。
This is a continuation of the first author's development of the theory of elliptic differential operators with edge degeneracies. That first paper treated basic mapping theory, focusing on semi-Fredholm properties on weighted Sobolev and H\"older spaces and regularity in the form of asymptotic expansions of solutions. The present paper builds on this through the formulation of boundary conditions and the construction of parametrices for the associated boundary problems. As before, the emphasis is on the geometric microlocal structure of the Schwartz kernels of parametrices and generalized inverses.