Analysis and Partial Differential Equations

Häftad, Engelska, 2024

647 kr

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Beskrivning

This textbook provides a modern introduction to advanced concepts and methods of mathematical analysis. The first three parts of the book cover functional analysis, harmonic analysis, and microlocal analysis.

Produktinformation

Utgivningsdatum:2024-09-26
Mått:155 x 235 x 23 mm
Vikt:769 g
Format:Häftad
Språk:Engelska
Serie:Universitext
Antal sidor:439
Förlag:Springer International Publishing AG
ISBN:9783031709081
Originaltitel:Analyse et équations aux dérivées partielles

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

Thomas Alazard is a senior researcher at CNRS and has taught at the École Normale Supérieure Paris, the École Normale Supérieure Paris-Saclay, and École Polytechnique. His research focuses on the analysis of partial differential equations.

Innehållsförteckning

Part I Functional Analysis.- 1 Topological Vector Spaces.- 2 Fixed Point Theorems.- 3 Hilbertian Analysis, Duality and Convexity.- Part II Harmonic Analysis.- 4 Fourier Series.- 5 Fourier Transform.- 6 Convolution.- 7 Sobolev Spaces.- 8 Harmonic Functions.- Part III Microlocal Analysis.- 9 Pseudo-Differential Operators.- 10 Symbolic Calculus.- 11 Hyperbolic Equations.- 12 Microlocal Singularities.- Part IV Analysis of Partial Differential Equations.- 13 The Calderón Problem.- 14 De Giorgi’s Theorem.- 15 Schauder’s Theorem.- 16 Dispersive Estimates.- Part V Recap and Solutions to the Exercises.- 17 Recap on General Topology.- 18 Inequalities in Lebesgue Spaces.- 19 Solutions.