Critical Partitions and Nodal Deficiency of Billiard Eigenfunctions-Reference-Cited by-同舟云学术

Critical Partitions and Nodal Deficiency of Billiard Eigenfunctions

Published:2012-09-28 Issue:6 Volume:22 Page:1517-1540
ISSN:1016-443X
Container-title:Geometric and Functional Analysis
language:en
Short-container-title:Geom. Funct. Anal.

Author:

Berkolaiko Gregory,Kuchment Peter,Smilansky Uzy

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00039-012-0199-y.pdf

Reference51 articles.

1. R. Abraham. Lectures of Smale on differential topology. In: Lecture Notes. Columbia Univ., New York (1962).

2. J. H. Albert. Nodal and critical sets for eigenfunctions of elliptic operators. In: Partial differential equations (Proc. Sympos. Pure Math., Vol. XXIII, Univ. California, Berkeley, Calif., 1971). Am. Math. Soc., Providence (1973), pp. 71–78.

3. Albert J.H.: Generic properties of eigenfunctions of elliptic partial differential operators. Transactions of the American Mathematical Society 238, 341–354 (1978)

4. Atiyah M.F.: K-Theory. Benjamin, New York (1967)

5. Band R., Berkolaiko G., Raz H., Smilansky U.: Critical partitions and nodal domains on quantum graphs. Communications in Mathematical Physics 311, 815–838 (2012)

Cited by 17 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Stability of spectral partitions and the Dirichlet-to-Neumann map;Calculus of Variations and Partial Differential Equations;2022-08-24

2. Computing Nodal Deficiency with a Refined Dirichlet-to-Neumann Map;The Journal of Geometric Analysis;2022-07-22

3. Resolvent expansions for self‐adjoint operators via boundary triplets;Bulletin of the London Mathematical Society;2022-07-12

4. Spectral shift via “lateral” perturbation;Journal of Spectral Theory;2022-03-24

5. Spectral flow for pair compatible equipartitions;Communications in Partial Differential Equations;2021-08-06