Instantaneous shrinking of compact support of solutions of semi-linear parabolic equations with singular absorption

Anh Nguyen Dao

Abstract


We prove an existence of weak solutions of semi-linear parabolic equations with a strong singular absorption term. Moreover, we study the qualitative behavior of solutions such as the quenching phenomenon, the nite speed of propagation and the instantaneous shrinking of compact support.

Full Text:

PDF


DOI: https://doi.org/10.52846/ami.v44i1.948