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Linear and Quasilinear Parabolic Problems - Volume II: Function Spaces (Hardcover, 1st ed. 2019)
Loot Price: R3,889
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Linear and Quasilinear Parabolic Problems - Volume II: Function Spaces (Hardcover, 1st ed. 2019)
Series: Monographs in Mathematics, 106
Expected to ship within 12 - 17 working days
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Total price: R3,909
Discovery Miles: 39 090
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This volume discusses an in-depth theory of function spaces in an
Euclidean setting, including several new features, not previously
covered in the literature. In particular, it develops a unified
theory of anisotropic Besov and Bessel potential spaces on
Euclidean corners, with infinite-dimensional Banach spaces as
targets. It especially highlights the most important subclasses of
Besov spaces, namely Slobodeckii and Hoelder spaces. In this case,
no restrictions are imposed on the target spaces, except for
reflexivity assumptions in duality results. In this general
setting, the author proves sharp embedding, interpolation, and
trace theorems, point-wise multiplier results, as well as
Gagliardo-Nirenberg estimates and generalizations of Aubin-Lions
compactness theorems. The results presented pave the way for new
applications in situations where infinite-dimensional target spaces
are relevant - in the realm of stochastic differential equations,
for example.
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