Weak convergence methods for nonlinear partial differential equations
著者
書誌事項
Weak convergence methods for nonlinear partial differential equations
（Regional conference series in mathematics, no. 74）
Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, c1990
大学図書館所蔵 全56件
注記
"Expository lectures from the CBMS Regional Conference held at Loyola University of Chicago, June 27-July 1, 1988."--T.p. verso
Bibliography: p. 76-80
ix, 82 p. -- 3rd printing with corrections
Some copies have different pagination: vii, 80 p.
内容説明・目次
内容説明
The author surveys a wide collection of techniques for showing the existence of solutions to various nonlinear partial differential equations, especially when strong analytic estimates are unavailable. The overall guiding viewpoint is that when a sequence of approximate solutions converges only weakly, one must exploit the nonlinear structure of the PDE to justify passing to limits. The author concentrates on several areas that are rapidly developing and points to some underlying viewpoints common to them all. Among the several themes in the book are the primary role of measure theory and real analysis (as opposed to functional analysis) and the continual use in diverse settings of low-amplitude, high-frequency periodic test functions to extract useful information. The author uses the simplest problems possible to illustrate various key techniques. Aimed at research mathematicians in the field of nonlinear PDEs, this book should prove an important resource for understanding the techniques being used in this important area of research.
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