A new result for the local well-posedness of the Camassa-Holm type equations in critial Besov spaces B^1+(1)/(p)_p,1,1≤ p

2021/01/04 by Weikui Ye, Zhaoyang Yin, Ye, Weikui +3 · 1 citation
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Advanced Mathematical Physics Problems #Nonlinear Photonic Systems

paper · pdf · doi:10.48550/arxiv.2101.00803

Abstract

For the famous Camassa-Holm equation, the well-posedness in B^1+(1)/(p)_p,1(ℝ) with 1≤ p≤2 and the ill-posedness in B^1+(1)/(p)_p,r(ℝ) with 1≤ p≤+∞, 1

Citations

• Global Conservative Solutions of the Camassa–Holm Equation
• Well-posedness, global existence, and blowup phenomena for a periodic quasi-linear hyperbolic equation
• Well-posedness and Blow-up Solutions for an Integrable Nonlinearly Dispersive Model Wave Equation
• Wave breaking for nonlinear nonlocal shallow water equations
• Ill-posedness of the Camassa–Holm and related equations in the critical space

Cited by

• Ill-posedness for the higher dimensional Camassa-Holm equations in Besov spaces

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• Ill-posedness for the Camassa-Holm and related equations in Besov spaces
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