Lower bound for the lifespan of solutions to the generalized KdV equation with low-degree of nonlinearity

DOI10.2969/aspm/08510303zbMath1473.35488OpenAlexW3195858551MaRDI QIDQ2042469

Hayato Miyazaki

Publication date: 20 July 2021

Full work available at URL: https://doi.org/10.2969/aspm/08510303

zbMATH Keywords

well-posednessgeneralized KdV equationlifespan of solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Well-posedness in weighted spaces for the generalized Hartree equation with p < 2 ⋮ Well-posedness and dynamics of solutions to the generalized KdV with low power nonlinearity

Cites Work

• Local existence, global existence, and scattering for the nonlinear Schrödinger equation