Instantaneous shrinking of the support of solutions to parabolic equations with a singular absorption

Authors: Nguyen Anh Dao, Đào Nguyên Anh,

https://doi.org/10.1007/s13398-020-00896-2

Publisher, magazine: ,

Publication year: 2020

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Abstract

We prove a result of the instantaneous shrinking of the support of solutions to parabolic equations with a singular absorption. Our method is based on the scaling property of solutions and the strong comparison.

Tags: Instantaneous shrinking of the compact support, Free boundary