Convergence of the Neumann Series in Higher Norms

DOI10.1081/PDE-200037760zbMath1084.47030MaRDI QIDQ3157932

Charles L. Epstein

Publication date: 20 January 2005

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Neumann seriesMarchenko equationhigher norm topologies

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Applications of operator theory to differential and integral equations (47N20) Equations and inequalities involving linear operators, with vector unknowns (47A50) Positive linear operators and order-bounded operators (47B65) Canonical models for contractions and nonselfadjoint linear operators (47A45) Scattering theory of linear operators (47A40) Pseudodifferential operators (47G30)

Cites Work

• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
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