Lp - Liouville theorems for invariant evolution equations

Abstract

Some Liouville-type theorems in Lebesgue spaces for several classes of evolution equations are presented. The involved operators are left invariant with respect to Lie group composition laws. Results for both solutions and sub-solutions are given.

Keywords

• Liouville Theorems
• Invariant Partial Dierential Operators
• Evolution Operators on Lie groups