Singularity for solutions of linearized KdV equations
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Publication:3298926
DOI10.1063/1.5141516zbMath1446.35173arXiv1911.11472OpenAlexW2989654738MaRDI QIDQ3298926
Keiichi Kato, Masaki Kawamoto, Koichiro Nanbu
Publication date: 16 July 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.11472
KdV equations (Korteweg-de Vries equations) (35Q53) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)
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Cites Work
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- On the singular solutions of the Korteweg-de Vries equation
- Global rough solutions to the critical generalized KdV equation
- The Schrödinger propagator for scattering metrics
- Soliton perturbation theory for the compound KdV equation
- Gain of regularity for the KP-I equation
- Semiclassical singularities propagation property for Schrödinger equations
- Self-spreading and strength of singularities for solutions to semilinear wave equations
- Propagation of singularities for semilinear hyperbolic equations in one space variable
- Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension
- Gain of regularity for equations of KdV type
- Smoothing effects for Schrödinger evolution equation and global behavior of geodesic flow
- Propagation of the homogeneous wave front set for Schrödinger equations
- A note on the wave packet transforms
- Gevrey regularizing effect for the (generalized) Korteweg-de Vries equation and nonlinear Schrödinger equations
- Commutator algebra and abstract smoothing effect
- Analyticity and smoothing effect for the Korteweg de Vries equation with a single point singularity
- Singular solitons, shock waves, and other solutions to potential KdV equation
- On the characterizations of wave front sets in terms of the short-time Fourier transform
- Remark on characterization of wave front set by wave packet transform
- Harmonic Analysis in Phase Space. (AM-122)
- Wave packets and fourier integral operators
- The perturbed Korteweg–de Vries equation considered anew
- Singularities for solutions to time dependent Schr\"odingier equations with sub-quadratic potential
