A quenching result of weak solutions of semi-linear parabolic equations

Anh Nguyen Dao, Bay Van Nguyen, Tan Phuoc Dang

Abstract


We prove a global existence  of weak solutions of semi-linear parabolic  equations with a singular absorption. In particular, we show that any weak solution vanishes after a finite time under some circumstances. Our results improve the one of Montenegro.

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DOI: https://doi.org/10.52846/ami.v45i2.1074