Magnetic spectral bounds on starlike plane domains

Author:

Laugesen R.S.,Siudeja B.A.

Publisher

EDP Sciences

Subject

Computational Mathematics,Control and Optimization,Control and Systems Engineering

Reference24 articles.

1. Aharonov Y. and Casher A., Ground state of a spin-1 / 2 charged particle in a two-dimensional magnetic field.Phys. Rev. A19(1979) 2461–2462.

2. M.S. Ashbaugh and R.D. Benguria, Isoperimetric inequalities for eigenvalues of the Laplacian, Spectral theory and mathematical physics: a Festschrift in honor of Barry Simon’s 60th birthday. In Vol. 76.Proc. of Sympos. Pure Math. Amer. Math. Soc.Providence, RI (2007) 105–139.

3. C. Bandle, Isoperimetric Inequalities and Applications. In Vol. 7 ofMonogr. Stud. Math.Pitman (Advanced Publishing Program), Boston, Mass. (1980).

4. R.D. Benguria and H. Linde, Isoperimetric inequalities for eigenvalues of the LaPlace operator.Fourth Summer School in Analysis and Mathematical Physics. In Vol. 476 ofContemp. Math. Amer. Math. Soc.Providence, RI (2008) 1–40.

5. Bonnaillie-Noël V., Dauge M., Martin D. and Vial G., Computations of the first eigenpairs for the Schrödinger operator with magnetic field.Comput. Methods Appl. Mech. Engrg.196(2007) 3841–3858.

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