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| title = Asymptotic analysis of soliton problems. An inverse scattering approach

| journal = Asymptotic Analysis

| title = On the asymptotic analysis of the Dirac-Maxwell system in the nonrelativistic limit

| title = On the asymptotic analysis of the Dirac-Maxwell system in the nonrelativistic limit

...of the kernel <math>|x|^{-n}\,</math>, which would otherwise blow up). The analysis divides into the ''short-range case'' <math>n > 1\,</math>, the ''long-rang ...suitable spaces have asymptotic states in <math>L^2\,</math>, and one has asymptotic completeness when <math>n > 4/3\,</math> [[HaTs1987]].

* The time interval on which the analysis is performed should be small. ...ry requires the usage of the <math>\epsilon</math> symbol somewhere in the analysis.

...scattering-supercritical (long-range) classes; this measures the relative asymptotic strength of the nonlinear and linear components of the equation, and is gen ...try and on the degree of homogeneity of <math>Q</math>; from a dimensional analysis perspective, <math>\alpha</math> measures

...dispersive, and Strichartz estimates are obtained, with application to the asymptotic stability of multisolitons.

..., D. Kaup, A. Newell, H. Segur, ''The inverse scattering transform-Fourier analysis for nonlinear problems'', Studies in Appl. Math. '''53''' (1974), no. 4, 24 M. Ablowitz, H. Segur, ''Asymptotic solutions of the Korteweg de Vries equation'', Stud. Appl. Math. '''57''' (