Nonexistence Results for the Hyperbolic-Type Equations on Graded Lie Groups

In this paper, we deal with systems of wave and pseudo-hyperbolic equations. Some semilinear equations for hypoelliptic operators on Rn, Heisenberg groups, stratified Lie groups and graded Lie groups are studied. In particular, we obtain nonexistence results for nonlinear hyperbolic and pseudo-hyperbolic equations and systems on graded Lie groups. Also, we show Kato-type exponents for systems of pseudo-hyperbolic equations for Rockland operators on graded Lie groups. © 2020, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia.