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A new energy characterization of the smallest eigenvalue of the Schrödinger equation. (English) Zbl 0358.35060


MSC:

35P15 Estimates of eigenvalues in context of PDEs
35J10 Schrödinger operator, Schrödinger equation
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[1] and , Diffusion processes in bounded domains and singular perturbation problems for variational inequalities with Neumann conditions in Probabilistic Methods in Differential Equations, Springer-Verlag, Lecture Notes in Mathematics 451, 1975, pp. 8–25.
[2] Introduction to Stochastic Control, Holt, Rinehart and Winston, New York, 1971. · Zbl 0293.93018
[3] Kushner, SIAM Review 18 pp 545– (1976)
[4] and , Maximum Principles in Differential Equations, Prentice-Hall, Englewood Cliffs, N.J., 1967.
[5] Applied Probability Models with Optimization Applications, Holden-Day, New York, 1970. · Zbl 0213.19101
[6] Stroock, Comm. Pure Appl. Math. 24 pp 147– (1971)
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