Łojasiewicz gradient inequality after half a century (Extending the preface)
Volume 128 / 2024
Banach Center Publications 128 (2024), 9-22
MSC: Primary 35A23; Secondary 58K05
DOI: 10.4064/bc128-1
Abstract
We recall how the Łojasiewicz inequalities were born and give a short overlook of their further career in mathematics. Special attention is given to the gradient inequality and its variants which turned out to be powerful tools in solving problems in partial differential equations, geometric analysis, calculus of variations, optimization and applied oriented problems where gradient flows and gradient-like algorithms are used.
