A simple proof that if the generalised BBM equation has a solution vanishing on an open sent of its domain then the solution is necessarily zero is given. In particular, the only compactly supported solution of the equation under consideration is the identically vanishing one.

中文翻译：

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广义 BBM 方程解的延拓的几何演示

给出了一个简单的证明，即如果广义 BBM 方程的解在其域的开放发送上消失，那么解必然为零。特别是，所考虑的方程的唯一紧支持解是完全消失的解。