The periodic Cauchy problem of the modified Hunter-Saxton equation
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🧮 math.AP
keywords
problemequationhunter-saxtoninitialmodifiedperiodicproveanalytic
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We prove that the periodic initial value problem for the modified Hunter-Saxton equation is locally well-posed for continuously differentiable initial data. We also study the analytic regularity of this problem and prove a Cauchy-Kowalevski type theorem.
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