The phenomenon of support shrinking with a time delay for the solution of a doubly nonlinear degenerate parabolic equation is studied in the case of slow diffusion and strong absorption. For a nonnegative solution, a sufficient condition for support shrinking beginning with some moment of time is deduced in terms of the local behaviour of the mass of the initial datum. It is also proved that the solution vanishes identically in finite time.

Bibliography: 21 titles.

中文翻译：

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关于具有时间延迟的溶液的支持收缩现象和溶液的消光

研究了在慢扩散和强吸收情况下解双非线性退化抛物方程的载体随时间延迟收缩的现象。对于非负解，根据初始基准质量的局部行为，推导出从某个时刻开始支撑收缩的充分条件。还证明了解在有限时间内同样消失。

参考书目：21 个标题。