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arXiv · 1709.03322

Loss of Regularity in the $K(m,n)$ Equations

Alon Zilburg·Philip Rosenau
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Abstract

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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Alon Zilburg, Philip Rosenau. 2017-10-26. Loss of Regularity in the $K(m,n)$ Equations. https://doi.org/10.1088/1361-6544%2Faab58b

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