Nonuniform dependence and well posedness for the periodic Hunter-Saxton equation.

zbMath1240.35454MaRDI QIDQ636873

Curtis Holliman

Publication date: 1 September 2011

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemwell posednessHunter-Saxton equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65)

Related Items (11)

The periodic Cauchy problem for a combined CH-mCH integrable equation ⋮ On the Cauchy problem for a weakly dissipative generalized \(\mu\)-Hunter-Saxton equation ⋮ Well-posedness and peakons for a higher-order \(\mu\)-Camassa-Holm equation ⋮ Well-posedness and continuity properties of the new shallow-water model with cubic nonlinearity ⋮ Nonuniform dependence and well-posedness for the generalized Camassa–Holm equation ⋮ The Cauchy problem for a generalized Camassa-Holm equation ⋮ Non-uniform dependence of the data-to-solution map for the Hunter-Saxton equation in Besov spaces ⋮ On the Cauchy problem for the generalized Camassa-Holm equation ⋮ Nonuniform dependence and persistence properties for a two-component Novikov system ⋮ On the Cauchy problem of the modified Hunter-Saxton equation ⋮ Continuity properties of the solution map for the generalized reduced Ostrovsky equation

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