SOLUTION TO (partial derivative)over-bar PROBLEM WITH EXACT SUPPORT AND REGULARITY FOR THE (partial derivative)over-bar-NEUMANN OPERATOR ON WEAKLY q-CONVEX DOMAINS

Saber S

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SOLUTION TO (partial derivative)over-bar PROBLEM WITH EXACT SUPPORT AND REGULARITY FOR THE (partial derivative)over-bar-NEUMANN OPERATOR ON WEAKLY q-CONVEX DOMAINS

机译：弱q凸域上具有（偏微分）Neumann算子的精确支持和正则性的（偏导数）凸问题的解。

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Let Omega be a weakly q-convex domain in C-n. We establish the L-2 existence theorem for the (partial derivative) over bar -Neumann operator N when the boundary of Omega is C-1. Using this result, we study the. problem with exact support on such domains. Furthermore, there exists a number l(0) > 0 such that the operators N, (partial derivative) over bar* N and the Bergman projection are regular in the Sobolev space W-l(Omega) for l < l(0) when the boundary of Omega is C-infinity.

机译：令Omega为C-n中的弱q凸域。当Omega的边界为C-1时，我们针对bar -Neumann算子N的（偏导数）建立L-2存在定理。利用这个结果，我们进行了研究。在此类域上的确切支持存在问题。此外，存在一个数l（0）> 0，使得当边界为l

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《International journal of geometric methods in modern physics》 |2010年第1期|共8页
作者
Saber S;
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正文语种 eng
中图分类理论物理学;
关键词
Bergman projection; Sobolev regularity; weakly q-convex domain;

机译：Bergman投影;Sobolev正则性;弱q-凸域;

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专利

1. SOLUTION TO (partial derivative)over-bar PROBLEM WITH EXACT SUPPORT AND REGULARITY FOR THE (partial derivative)over-bar-NEUMANN OPERATOR ON WEAKLY q-CONVEX DOMAINS [J] . Saber S International journal of geometric methods in modern physics . 2010,第1期

机译：弱q凸域上具有（偏微分）Neumann算子的精确支持和正则性的（偏导数）凸问题的解。
2. Local solvability of the partial derivative-equation with boundary regularity on weakly q-convex domains [J] . Brinkschulte J Mathematische Annalen . 2006,第1期

机译：弱q-凸域上具有边界规则性的偏导数方程的局部可解性
3. SOLUTION TO PROBLEM WITH EXACT SUPPORT AND REGULARITY FOR THE -NEUMANN OPERATOR ON WEAKLY q-CONVEX DOMAINS [J] . ED SABER International Journal of Geometric Methods in Modern Physics . 2010,第1期

机译：q-凸凸域上-neumann算子具有精确支持和正则性的问题的解决方案
4. Genetic Programming: Semantic point mutation operator based on the partial derivative error [C] . Graff Mario, Flores Juan J., Ortiz Bejar Jose IEEE International Autumn Meeting on Power, Electronics and Computing . 2014

机译：遗传编程：基于偏导数误差的语义点突变算子
5. Partial regularity of weak solutions of quasilinear elliptic systems and weak Harnack inequalities. [D] . Borovikova, Marina. 2004

机译：拟线性椭圆系统的弱解的局部正则性和弱的Harnack不等式。
6. Optimal partial regularity of very weak solutions to nonhomogeneous A-harmonic systems [O] . Qing Zhao, Shuhong Chen -1

机译：非均匀A调和系统极弱解的最优局部正则性
7. The regularity of projection operators and solution operators to $\overline{\partial}$ on weakly pseudoconvex domains [O] . Ehsani, Dariush 2015

机译：投影算子和求解算子的规律性在弱pseudvevex域上$ \ overline {\ partial} $
8. On the Relation of the Operator Partial derivative with respect to s + Partial derivative with respect to tau to Evolution Governed by Accretive Operators. [R] . Crandall, M. G., Evans, L. C. 1975

机译：关于算子偏导数与s +偏导数关于tau与增生算子演化的关系。

SOLUTION TO (partial derivative)over-bar PROBLEM WITH EXACT SUPPORT AND REGULARITY FOR THE (partial derivative)over-bar-NEUMANN OPERATOR ON WEAKLY q-CONVEX DOMAINS

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