ABSTRACT
We investigate the large time behavior of the hot spots of the solution to the Cauchy problem
where and decays quadratically as . In this paper, based on the arguments in [K. Ishige and A. Mukai, to appear in Discrete Contin. Dyn. Syst.], we classify the large time behavior of the hot spots of u and reveal the relationship between the behavior of the hot spots and the harmonic functions for .
Acknowledgements
The authors of this paper would like to thank the referees for carefully reading the manuscript and relevant remarks.
Notes
No potential conflict of interest was reported by the authors.