Loss of Regularity in the K(m,n) Equations
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🧮 math.AP
keywords
equationscompactlycompactonsemergenceestimatesfiniteformationinitially
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Using a priori estimates we prove that initially nonnegative, smooth and compactly supported solutions of the $K(m,n)$ equations must lose their smoothness in finite time. Formation of a singularity is a prerequisite for the emergence of compactons.
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