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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.
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.
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