Hadamard variation of eigenvalues with respect to general domain perturbations
Author:
Affiliation:
1. Center of Mathematical Modeling and Data Science, Osaka University
Publisher
Mathematical Society of Japan (Project Euclid)
Reference15 articles.
1. [1] S.-N. Chow and J. K. Hale, Methods of Bifurcation Theory, Springer-Verlag, New York, 1982.
2. [2] H. Fujita, N. Saito and T. Suzuki, Operator Theory and Numerical Methods, Elsevier, Amsterdam, 2001.
3. [3] P. R. Garabedian and M. Schiffer, Convexity of domain functionals, J. Anal. Math., 2 (1952-53), 281–368.
4. [4] S. Jimbo and E. Ushikoshi, Hadamard variational formula for the multiple eigenvalues of the Stokes operator with the Dirichlet boundary conditions, Far East J. Math. Sci., 98 (2015), 713–739.
5. [5] T. Kato, Perturbation Theory for Linear Operators, second edition, Springer-Verlag, Berlin, 1976.
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