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Elliptic Differential Operators and Spectral Analysis (Hardcover, 1st ed. 2018)
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Elliptic Differential Operators and Spectral Analysis (Hardcover, 1st ed. 2018)
Series: Springer Monographs in Mathematics
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This book deals with elliptic differential equations, providing the
analytic background necessary for the treatment of associated
spectral questions, and covering important topics previously
scattered throughout the literature. Starting with the basics of
elliptic operators and their naturally associated function spaces,
the authors then proceed to cover various related topics of current
and continuing importance. Particular attention is given to the
characterisation of self-adjoint extensions of symmetric operators
acting in a Hilbert space and, for elliptic operators, the
realisation of such extensions in terms of boundary conditions. A
good deal of material not previously available in book form, such
as the treatment of the Schauder estimates, is included. Requiring
only basic knowledge of measure theory and functional analysis, the
book is accessible to graduate students and will be of interest to
all researchers in partial differential equations. The reader will
value its self-contained, thorough and unified presentation of the
modern theory of elliptic operators.
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