2 problems

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Semiclassical asymptotics of the ILW scattering data
Semiclassical asymptotics of the ILW scattering data. The eigenvalues satisfy the ILW Weyl law
Conjectureopenintermediate-long-wave-equation inverse-scattering semiclassical-analysisarXiv posted 2 days ago
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Quartic lifespan conjecture for small-data ILW solutions
The Intermediate Long Wave equation has small initial data of size $epsilon$ and dispersion relation … which is KdV-like at low frequencies and Benjamin–Ono-like at high frequencie…
Conjectureopendispersive-pdes intermediate-long-wave-equation lifespanarXiv posted 2 days ago

Semiclassical asymptotics of the ILW scattering data