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Regularity of Free Boundaries in Obstacle-Type Problems (Hardcover)
Loot Price: R2,520
Discovery Miles 25 200
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Regularity of Free Boundaries in Obstacle-Type Problems (Hardcover)
Series: Graduate Studies in Mathematics
Expected to ship within 12 - 17 working days
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Total price: R2,540
Discovery Miles: 25 400
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The regularity theory of free boundaries flourished during the late
1970s and early 1980s and had a major impact in several areas of
mathematics, mathematical physics, and industrial mathematics, as
well as in applications. Since then the theory continued to evolve.
Numerous new ideas, techniques, and methods have been developed,
and challenging new problems in applications have arisen. The main
intention of the authors of this book is to give a coherent
introduction to the study of the regularity properties of free
boundaries for a particular type of problems, known as
obstacle-type problems. The emphasis is on the methods developed in
the past two decades. The topics include optimal regularity,
nondegeneracy, rescalings and blowups, classification of global
solutions, several types of monotonicity formulas, Lipschitz,
$C^1$, as well as higher regularity of the free boundary, structure
of the singular set, touch of the free and fixed boundaries, and
more. The book is based on lecture notes for the courses and
mini-courses given by the authors at various locations and should
be accessible to advanced graduate students and researchers in
analysis and partial differential equations.
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