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Fractional Sobolev Spaces and Inequalities (Hardcover)
Loot Price: R2,812
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Fractional Sobolev Spaces and Inequalities (Hardcover)
Series: Cambridge Tracts in Mathematics
Expected to ship within 12 - 17 working days
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The fractional Sobolev spaces studied in the book were introduced
in the 1950s by Aronszajn, Gagliardo and Slobodeckij in an attempt
to fill the gaps between the classical Sobolev spaces. They provide
a natural home for solutions of a vast, and rapidly growing, number
of questions involving differential equations and non-local
effects, ranging from financial modelling to ultra-relativistic
quantum mechanics, emphasising the need to be familiar with their
fundamental properties and associated techniques. Following an
account of the most basic properties of the fractional spaces, two
celebrated inequalities, those of Hardy and Rellich, are discussed,
first in classical format (for which a survey of the very extensive
known results is given), and then in fractional versions. This book
will be an Ideal resource for researchers and graduate students
working on differential operators and boundary value problems.
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