Asymptotic analysis of operator families and applications to resonant media
DOI10.1007/978-3-031-31139-0_12MaRDI QIDQ6630029
Yulia Yu. Ershova, Luis O. Silva, Vladimir Ryzhov, Kirill D. Cherednichenko, Alexander V. Kiselev
Publication date: 30 October 2024
wave propagationquantum graphsinverse scattering problemfunctional modelsdissipative operatorshomogenisationgeneralised resolventsresonant mediazero-range models
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of operator theory in the physical sciences (47N50) Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Schrödinger operator, Schrödinger equation (35J10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Meromorphic functions of one complex variable (general theory) (30D30) Canonical models for contractions and nonselfadjoint linear operators (47A45) Linear operators on spaces with an indefinite metric (47B50) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Elliptic operators and their generalizations (47F10) Nonselfadjoint operators (47B28)
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