Lectures on exponential decay of solutions of second-order elliptic equations: bounds on eigenfunctions of N-body Schrödinger operators. (English) Zbl 0503.35001

Agmon, Shmuel

Mathematical Notes, 29. Princeton, New Jersey: Princeton University Press; Tokyo: University of Tokyo Press. 118 p. $ 14.00 (1982).

MSC:

35-02	Research exposition (monographs, survey articles) pertaining to partial differential equations
35J10	Schrödinger operator, Schrödinger equation
35J15	Second-order elliptic equations
35P20	Asymptotic distributions of eigenvalues in context of PDEs
81Q10	Selfadjoint operator theory in quantum theory, including spectral analysis
47B25	Linear symmetric and selfadjoint operators (unbounded)
35B05	Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
35B35	Stability in context of PDEs

Keywords:

exponential decay of solutions; unbounded domains; isotropic estimates; anisotropic estimates; geometric spectral analysis; self-adjointness

Citations:

Zbl 0143.365; Zbl 0078.279; Zbl 0091.095