Critical extinction exponent for a doubly degenerate non-divergent parabolic equation with a gradient source

Abstract

We concern with the extinction phenomenon of a non-divergent parabolic equation with a nonlinear gradient source. The critical extinction exponent of the solution is obtained.

Keywords:

• Extinction
• decay estimates
• non-divergent parabolic equation
• gradient source

AMS Subject Classifications:

• 35K20
• 35K55

Acknowledgements

The authors would like to thank the editor and the referee for their valuable comments and suggestions regarding the original manuscript.

Disclosure statement

No potential conflict of interest was reported by the authors.

Notes

1 and lead to , which is equivalent to

Additional information

Funding

This work was supported by the Scientific Research Fund of Hunan Provincial Education Department [grant number 16A071]; the Natural Science Foundation of China [grant number 11461075].