Point interaction potential approximation for (-Δ + U)-1 and eigenvalues of the laplacian on wildly perturbed domain

Osaka Journal of Mathematics

Volumn 20, Issue 4, 1983, Pages 923-937

  Ozawa, Shin ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84972548319     PISSN: 00306126     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. A. Bensoussan, J. L. Lions and G. C. Papanicolaou: Asymptotic methods in periodic structures, North-Holland, Amsterdam, 1978.
2. M. Kac: Probabilistic method in some problems of scattering theory, Rocky Mountain J. Math. 4 (1974), 511-538.
3. E. I. Huruslov and V. A. Marchenko: Boundary value problems in regions with fine-grained boundaries, Kiev, 1974. (in Russian).
4. S. Ozawa: Singular variation of domains and eigenvalues of the Laplacian, Duke Math. J. 48 (1981), 767-778.
5. G. C. Papanicolaou and S. R. S. Varadhan: Diffusion in region with many small holest Lecture Notes in Control and Information, Springer, 75 (1980), 190-206.
6. J. Rauch and M. Taylor: Potential and scattering theory on wildly perturbed domains, J. Funct. Anal. 18 (1975), 27-59.
7. B. Simon: Functional integration and quantum physics, Academic Press, 1979.