Nonexistence of Global Solutions of Some Nonlinear Ultra-Parabolic Equations on the Heisenberg Group

This chapter provides sufficient conditions for non existence Global weak solutions for non-local and non-linear equivalent equations on HN × (0,\(\infty\)) × (0,\(\infty\)), where HN is the Heisenberg group. Our method of proof relies on a suitable choice of a test function and the weak formulation approach of the sought for solutions.