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Applied functional analysis

Khanfer, Ammar

eBook Springer <editore> 2024

Abstract

This textbook offers a concise and thorough introduction to the topic of applied functional analysis. Targeted to graduate students of mathematics, it presents standard topics in a self-contained and accessible manner. Featuring approximately 300 problems sets to aid in understanding the content, this text serves as an ideal resource for independent study or as a textbook for classroom use. [...]
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Description *Applied functional analysis / Ammar Khanfer. - Singapore : Springer, 2024. - 1 testo elettronico (xvii, 367 p. : ill.)
ISBN E-Book 9789819937882
Author
Khanfer, Ammar
Subjects 35A15 - Variational methods applied to PDEs [MSC 2020]
35D30 - Weak solutions to PDEs [MSC 2020]
35J20 - Variational methods for second-order elliptic equations [MSC 2020]
46A22 - Theorems of Hahn-Banach type; extension and lifting of functionals and operators [MSC 2020]
46A30 - Open mapping and closed graph theorems; completeness (including $B$-, $B r$-completeness) [MSC 2020]
46B25 - Classical Banach spaces in the general theory [MSC 2020]
46B50 - Compactness in Banach (or normed) spaces [MSC 2020]
46B70 - Interpolation between normed linear spaces [MSC 2020]
46C05 - Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) [MSC 2020]
47B07 - Linear operators defined by compactness properties [MSC 2020]
47B38 - Linear operators on function spaces (general) [MSC 2020]
47Bxx - Special classes of linear operators [MSC 2020]
54E52 - Baire category, Baire spaces [MSC 2020]
Parole chiave Calculus of Variations
Distributions
Elliptic partial differential equations
Hilbert spaces
Linear operators
Sobolev spaces
Publication place Singapore
Publisher Springer <editore>
Publication year 2024
Thesaurus 35A15
35D30
35J20
46A22
46A30
46B25
46B50
46B70
46C05
47B07
47B38
47Bxx
54E52
Baire category, Baire spaces [MSC 2020]
Classical Banach spaces in the general theory [MSC 2020]
Compactness in Banach (or normed) spaces [MSC 2020]
Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) [MSC 2020]
Interpolation between normed linear spaces [MSC 2020]
Linear operators defined by compactness properties [MSC 2020]
Linear operators on function spaces (general) [MSC 2020]
Open mapping and closed graph theorems; completeness (including $B$-, $B_r$-completeness) [MSC 2020]
Special classes of linear operators [MSC 2020]
Theorems of Hahn-Banach type; extension and lifting of functionals and operators [MSC 2020]
Variational methods applied to PDEs [MSC 2020]
Variational methods for second-order elliptic equations [MSC 2020]
Weak solutions to PDEs [MSC 2020]