Ill-posedness of the Third Order NLS with Raman Scattering Term in Gevrey Spaces

DOI10.1007/978-3-030-47174-3_13zbMath1462.35358OpenAlexW3090777141MaRDI QIDQ4964115

Nobu Kishimoto, Yoshio Tsutsumi

Publication date: 24 February 2021

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-47174-3_13

zbMATH Keywords

nonlinear Schrödinger equationRaman scatteringill-posedness

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Diffraction, scattering (78A45) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items

Well-posedness of the Cauchy problem for the kinetic DNLS on T

Cites Work

• Ill-posedness of the third order NLS equation with Raman scattering term
• Local solvability for nonlinear partial differential equations.
• Well-posedness of the Prandtl equations without any structural assumption
• Équations et systèmes non-linéaires, hyperboliques non-stricts
• Projective and injective limits of weakly compact sequences of locally convex spaces
• On the ill-posedness of the Prandtl equation
• Local solutions in gevrey classes to the nonlinear Boltzmann equation without cutoff
• On the local solvability of semilinear equations
• Well-posedness of the Prandtl equation in Sobolev spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item