Abstract Parabolic Evolution Equations and ?ojasiewicz–Simon Inequality IThe classical ? ojasiewicz gradient inequality (1963) was extended by Simon (1983) to the infinite dimensional setting, now called the ? ojasiewiczSimon gradient inequality. This book presents a unified method to show asymptotic convergence of solutions to a stationary solution for abstract parabolic evolution equations of the gradient form by utilizing this ? ojasiewiczSimon gradient inequality. In order to apply the abstract results to a wider class