An explicit formula for the solution of the Benjamin-Ono equation and its applications AYGRJSRG1M

URI	`m2://res/AYGRJSRG1M`
Kind	preprint
Creators	Louise Gassot, Patrick Gérard, Peter D. Miller
Date	2026-09-30
MSC	35-XX
Subjects	arxiv math.AP, arxiv nlin.SI
Scope	in

Expressions

e1: version, preprint

Language	en
Date	2026-09-30
Ids	arXiv 2610.00770, zbl_id 903193316

Items in this resource

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
The linear operator $\mathcal{X}^*$	definition	definition	arxiv
Strong $L^2$ small-dispersion asymptotics, \protect	statement	theorem	arxiv
Formula for the distorted Fourier transform	statement	proposition	arxiv
7X8P8PFP0N	statement	lemma	arxiv
Soliton resolution and spectral data	statement	theorem	arxiv
9MZYK0MMB3	statement	lemma	arxiv
BK801PGYEM	statement	lemma	arxiv
Explicit formula for rational initial data	statement	theorem	arxiv
Generalized eigenfunction	statement	lemma	arxiv
DSMZ62XEAT	statement	proposition	arxiv
Weak small-dispersion limit	statement	theorem	arxiv
Boundary limits of complex inverses	statement	lemma	arxiv
Linearized self-similar universality, \protect	statement	theorem	arxiv
Explicit formula	statement	theorem	arxiv
Universal small-dispersion asymptotics near the harmonic edge, \protect	statement	theorem	arxiv
KG5WBBK2C1	statement	proposition	arxiv
Pointwise soliton resolution for rational initial data	statement	theorem	arxiv
P3Y9NG32G6	statement	proposition	arxiv
Asymptotic formula for $\Pi u(t,vt+x_0)$	statement	proposition	arxiv
Identities between $y_n^\pm$ and $w_n^-$	statement	lemma	arxiv
Universal small-dispersion asymptotics near the soliton edge, \protect	statement	theorem	arxiv
Asymptotic expansion	statement	proposition	arxiv
Universal small-dispersion asymptotics near the gradient catastrophe point, \protect	statement	theorem	arxiv
Soliton resolution for general initial data	statement	theorem	arxiv
YJNXX2ZCJW	statement	lemma	arxiv
Strong pointwise and locally-uniform small-dispersion asymptotics, \protect	statement	theorem	arxiv

Catalogue records

arxiv: 2610.00770 (work)
arxiv_text: 2610.00770 (work)
zbmath_search: 903193316 (work)