Some fundamental a priori estimates for weak solutions of the evolution p-Laplacian equation

ABSTRACT

We provide a rigorous derivation of some fundamental properties of the solutions to the evolution p-Laplacian equation with source terms in a divergent and non-divergent form.

COMMUNICATED BY:

• Irena Lasiecka

KEYWORDS:

• p-Laplacian evolution equation
• a priori estimates
• fundamental properties
• $L^1$ contraction
• continuity on $L^q$ norm

2010 AMS SUBJECT CLASSIFICATIONS:

• 35B45
• 35K30
• 35K55

Disclosure statement

No potential conflict of interest was reported by the authors.