Well-posedness and dynamics of solutions to the generalized KdV with low power nonlinearity
DOI10.1088/1361-6544/ac93e1OpenAlexW4313591966MaRDI QIDQ5060020
Diana Son, Svetlana Roudenko, Isaac Friedman, Oscar G. Riaño, Kai Yang
Publication date: 17 January 2023
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.01130
Asymptotic behavior of solutions to PDEs (35B40) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Blow-up in context of PDEs (35B44) Soliton solutions (35C08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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