References
- Kuchment P. Quantum graphs: I. Some basic structures. Waves Random Media. 2004;14:S107–S128.
- Kuchment P. Quantum grephs: II, Some spectral properties for infinite and combinatorial graphs. J Phys A: Math Gen. 2005;38:4887–4900.
- Berkolaiko G, Kuchment P. Introduction to quantum graphs. Providence (RI): American Mathematical Society; 2013.
- Simon B. Schrödinger semigroupes. Bull Am Math Soc. 1982;7:447–526.
- Agmon S. Lectures on exponential decay of solutions of second-order elliptic equations: bounds on eigenfunctions of N-body Schrödinger operators. Vol. 29, Mathematical Notes. Princeton (NJ): Princeton University Press; 1982.
- Agmon S. Bounds on exponential decay of eigenfunctions of Schrödinger operators. Vol. 1159, Lecture Notes in Mathematics. Berlin: Springer; 1985. p. 1–38.
- Bardos C, Merigot M. Asymptotic decay of the solutions of a second order elliptic equation in an unbounded domain. Applications to the spectral properties of a Hamiltonian. Proc Roy Soc Edinburg. 1977;76 A:323–344.
- Hislop PD, Sigal IM. Introduction to spectral theory: with applications to Schrödinger operators. New York (NY): Springer; 1996.
- Reed M, Simon B. Methods of modern mathematical physics: II, Fourier analysis, self-adjointness. San Diego: Academic Press; 1975.
- Kurbatov VGE. On asymptotic decay of the eigenfunctions of elliptic operators. Eurasian Math J. 2010;1:99–109.
- Akduman S, Pankov A. Schrödinger operators with locally integrable potentials on infinite metric graphs. Appl Anal. 2016;1–13. doi:10.1080/00036811.2016.1207247.
- Brezis H. Functional analysis, Sobolev spaces and partial differential equations. New York (NY): Springer; 2011.
- Reed M, Simon B. Methods of modern mathematical physics: I, Functional Analysis. San Diego: Academic Press; 1980.
- Kato T. Perturbation theory for linear operators. Berlin: Springer; 1976.