This paper is concerned with the propagation speed for parabolic quasiminimizers. More precisely, we show that parabolic quasiminimizers for the $p$-energy with $p>2$ propagate with finite speed. Since parabolic quasiminimizers are in some respects generalizations of solutions to parabolic equations, the results at hand show that the fundamental property of finite speed propagation for solutions of the degenerate parabolic $p$-Laplace equation ($p>2$) are preserved by passing to quasiminimizers.

中文翻译：

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抛物型拟优化器的有限速度传播

本文涉及抛物拟拟器的传播速度。更确切地说，我们证明了抛物准拟$p$能量 $p>2$以有限的速度传播。由于抛物线拟优化器在某些方面是抛物线方程解的一般化，因此现有结果表明，退化抛物线解的有限速度传播的基本性质$p$-拉普拉斯方程（$p>2$）通过传递给拟量化器来保留。