Fujita-type theorems for doubly degenerate parabolic equations with a time-weighted source

Abstract

This work deals with the Cauchy problem for a doubly degenerate parabolic equation with a time-weighted source. Existence and non-existence results for global solutions of this problem are established. Sharp estimates of the solution are obtained in the case of global solvability.

Keywords:

• degenerate parabolic equation
• time-weighted source
• Fujita critical exponent
• global existence
• blow-up

AMS Subject Classifications:

• 35B33
• 35B45
• 35K55
• 35K65

Notes

No potential conflict of interest was reported by the author.