Boundary Value Problems for Elliptic Systems: Index
Boundary Value Problems for Elliptic Systems: Index
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椭圆系统的边值问题：索引
DOI：
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发表时间：
1995
期刊：
影响因子：
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通讯作者：
B. Lawruk
中科院分区：
文献类型：
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作者：
J. Wloka;B. Rowley;B. Lawruk
第1部分矩阵多项式的谱理论矩阵多项式2。矩阵多项式的谱三元组。一元矩阵多项式进一步的结果第二部分。流形和向量束：5。流形和向量束微分形式第三部分。伪微分算子与椭圆边值问题；Rn 8上的伪微分算子。紧流形上的伪微分算子。Rn上有界域上的椭圆系统第四部分。边值问题的约简到边界上的椭圆系统理解l条件应用到索引12。常微分算子的bvp及其与谱三元组的联系边界附近伪微分算子的行为重述主要定理第五部分平面上椭圆边界问题的一个指标公式洛帕金斯基条件的进一步结果。平面上的索引是17。具有2 × 2实系数的椭圆系统。
Part I. A Spectral Theory of Matrix Polynormials: 1. Matrix polynomials 2. Spectral triples for matrix polynomials 3. Monic matrix polynomials 4. Further results Part II. Manifolds and Vector Bundles: 5. Manifolds and vector bundles 6. Differential forms Part III. Pseudo-Differential Operators and Elliptic Boundary Value Problems: 7. Pseudo-differential operators on Rn 8. Pseudo-differential operators on a compact manifold 9. Elliptic systems on bounded domains in Rn Part IV. Reduction Of A Boundary Value Problem To An Elliptic System On The Boundary: 10. Understanding the L-condition 11. Applications to the index 12. BVPs for ordinary differential operators and the connection with spectral triples 13. Behaviour of a pseudo-differential operator near a boundary 14. The Main Theorem revisited Part V. An Index Formula For Elliptic Boundary Problems In The Plane: 15. Further results on the Lopatinskii Condition 16. The index in the plane 17. Elliptic systems with 2 x 2 real coefficients.