ON THE WORK OF JEAN BOURGAIN IN NONLINEAR DISPERSIVE EQUATIONS

Abstract

In this brief note we survey a sample of the deep and influential contributions of Jean Bourgain to the field of nonlinear dispersive equations. Bourgain also made many fundamental contributions to other areas of partial differential equations and mathematical physics (as well as to a myriad of other areas in analysis, number theory, combinatorics, theoretical computer science, and more). Quoting the citation of the American Mathematical Society L. P. Steele Prize for Lifetime Achievement awarded to Bourgain in 2018, “Jean Bourgain is a giant in the field of mathematical analysis, which he has applied broadly and to great effect.” Jean Bourgain’s contributions to mathematics will be remembered forever. Those of us who knew him will also remember his warmth, generosity, and graciousness.