On the Cauchy problem for the Degasperis-Procesi equation
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Publication:3094266
DOI10.1090/S0033-569X-2011-01216-5zbMath1229.35243MaRDI QIDQ3094266
Publication date: 24 October 2011
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: http://www.ams.org/journals/qam/2011-69-03/S0033-569X-2011-01216-5/home.html
KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems for nonlinear higher-order PDEs (35G25)
Related Items (27)
Orbital stability of periodic peakons for a new higher-order μ-Camassa–Holm equation ⋮ Well-posedness and blow-up phenomena for a generalized Camassa-Holm equation ⋮ Remarks on the well-posedness of Camassa-Holm type equations in Besov spaces ⋮ On traveling waves of the quadratic-cubic Degasperis-Procesi equation ⋮ On the solutions of the Dullin-Gottwald-Holm equation in Besov spaces ⋮ Wave-breaking phenomena for a weakly dissipative shallow water equation ⋮ On \(H^2\)-solutions for a Camassa-Holm type equation ⋮ Well-posedness and global existence for a generalized Degasperis-Procesi equation ⋮ Blow-up criteria for the generalized Degasperis–Procesi equation ⋮ Non-uniform dependence for a generalized Degasperis-Procesi equation ⋮ Non-uniform continuity on initial data for the two-component b-family system in Besov space ⋮ Well-posedness and continuity properties of the Degasperis-Procesi equation in critical Besov space ⋮ On the Cauchy problem for a generalized Degasperis-Procesi equation ⋮ Probabilistic global well-posedness to the nonlocal Degasperis-Procesi equation ⋮ Non-uniform dependence for the Novikov equation in Besov spaces ⋮ On a generalized Camassa–Holm equation with the flow generated by velocity and its gradient ⋮ Blow-up phenomena and local well-posedness for a generalized Camassa-Holm equation with cubic nonlinearity ⋮ Blow-up phenomena and local well-posedness for a generalized Camassa-Holm equation in the critical Besov space ⋮ The Cauchy problem for a generalized Novikov equation ⋮ The Cauchy problem for the generalized Degasperis-Procesi equation ⋮ Blow-up phenomena and local well-posedness for a generalized Camassa-Holm equation in the critical Besov space ⋮ The existence of global weak solutions for a generalized Camassa–Holm equation ⋮ Global solutions and blow-up phenomena for a generalized Degasperis-Procesi equation ⋮ A view of the peakon world through the lens of approximation theory ⋮ The Cauchy problem for a generalized Camassa–Holm equation with the velocity potential ⋮ A new two-component system modelling shallow-water waves ⋮ Local well-posedness and blow-up phenomena for a generalized Camassa-Holm equation with peakon solutions
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