Non existence of \(L^2\)-compact solutions of the Kadomtsev-Petviashvili II equation
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Publication:1434161
DOI10.1007/s00208-003-0498-6zbMath1330.35389OpenAlexW2135626407MaRDI QIDQ1434161
Publication date: 1 July 2004
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00208-003-0498-6
KdV equations (Korteweg-de Vries equations) (35Q53) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Geometric theory, characteristics, transformations in context of PDEs (35A30)
Related Items (12)
Global well-posedness and scattering for the defocusing, mass-critical generalized KdV equation ⋮ Stability of line solitons for the KP-II equation in ℝ² ⋮ Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations ⋮ Linear stability of elastic 2-line solitons for the KP-II equation ⋮ The Phase Shift of Line Solitons for the KP-II Equation ⋮ Dispersive estimates for rational symbols and local well-posedness of the nonzero energy NV equation ⋮ Stability of the line soliton of the KP-II equation under periodic transverse perturbations ⋮ Numerical study of oscillatory regimes in the Kadomtsev-Petviashvili equation ⋮ Dispersive estimates for rational symbols and local well-posedness of the nonzero energy NV equation. II. ⋮ Global well-posedness in the energy space for a modified KP II equation via the Miura transform ⋮ On the propagation of regularities in solutions of the fifth order Kadomtsev-Petviashvili II equation ⋮ Dispersion dynamics for the defocusing generalized Korteweg-de Vries equation
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