Gradient blow-up solutions of the Camassa-Holm and Hunter-Saxton equations form C^{3/5} cusps at the first singularity, with sharp Hölder exponent and blow-up rates.
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Sharp regularity of gradient blow-up solutions in the Camassa-Holm equation
Gradient blow-up solutions of the Camassa-Holm and Hunter-Saxton equations form C^{3/5} cusps at the first singularity, with sharp Hölder exponent and blow-up rates.