Lojasiewicz-Simon gradient inequalities with applications to Yang-Mills pairs and Harmonic maps

Manousos Maridakis, Rutgers University

Lojasiewicz-Simon gradient inequalities have become increasingly useful in convergence properties of gradient flows and uniqueness of singularity models. Recently they played important role in the proof of discreteness of critical energies for energy functionals. We discuss an abstract version of a Lojasiewicz-Simon gradient inequality established under very weak assumptions and its applications for coupled Yang-Mills energy functionals and Harmonic map energy functionals on closed manifolds. 

MC 5413