James Serrin. Selected Papers

ISBN-13: 9783034806855 / Angielski / Twarda / 2014 / 1718 str.

Patrizia Pucci;Vicentiu D. Radulescu;Hans Weinberger

Opis

These two volumes present the collected works of James Serrin. He has done 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.

Recenzje

From the book reviews:

"The selected works of James Serrin are published in a two-volumes set. ... these two nice, elegant and well-prepared volumes represent a part of the scientific inheritance in the domain of PDEs and their applications ... . The selected papers are of interest not only to specialists in the domain of PDEs but also for a wider audience of Ph.D. students, physicists, and engineers as well." (Petar Popivanov, zbMATH, Vol. 1304, 2015)

Blurb

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.