We give a new method based on the existence of a family of inequalities to prove the global existence of a time evolution equation. We apply this method to various problems.
"Remarks on global existence for a family of inequalities and applications to Mullins and Navier-Stokes equations." Adv. Differential Equations 10 (1) 1 - 18, 2005. https://doi.org/10.57262/ade/1355867893