James Serrin. Selected Papers Volume 1 [Hardcover]

These two volumes present the collected works of James Serrin. He did seminal work on a number of the basic tools needed for the study of solutions of partial differential equations. Many of them have been and are being applied to solving problems in science and engineering. Among the areas which he studied are maximum principle methods and related phenomena such as Harnack's inequality, the compact support principle, dead cores and bursts, free boundary problems, phase transitions, the symmetry of solutions, boundary layer theory, singularities and fine regularity properties. The volumes include commentaries by leading mathematicians to indicate the significance of the articles and to discuss further developments along the lines of these articles.Photos Part 1.- Preface (Introduction).- Biography of James Serrin.- Papers and commentaries.-?List of publications.

This is the first of two volumes presenting the collected works of James Serrin. He did seminal work on a number of the basic tools needed for the study of solutions of partial differential equations. Many of them have been and are being applied to solving problems in science and engineering. Among the areas which he studied are maximum principle methods and related phenomena such as Harnack's inequality, the compact support principle, dead cores and bursts, free boundary problems, phase transitions, the symmetry of solutions, boundary layer theory, singularities, and fine regularity properties.

Both volumes include commentaries by leading mathematicians to indicate the significance of the selected papers, and to discuss further developments in the respective fields.

The two books contain a collection of challenging papers in nonlinear partial differential equations

They?develop the skills for doing research in nonlinear analysis and applied functional analysis

They include incisive explanations of many important ideas in the delC†