Code: 49976498

Harmonic Analysis Techniques for Elliptic Operators

Name: Harmonic Analysis Techniques for Elliptic Operators
Brand: Springer, Berlin
SKU: 49976498
Price: 79.52 EUR
Availability: BackOrder
Author: Moritz Egert
ISBN: 9783032130143

by Moritz Egert, Robert Haller, Sylvie Monniaux, Patrick Tolksdorf

New!

Language: English
Binding: Hardback
Number of pages: 316
Publisher: Springer, Berlin, 2026
More about this

79.52 €

Availability:

50/50

We think title might be available. Upon your order we will do our best to get it within 6 weeks.
We search the world

Availability alert

Add to wishlist

All Tomorrow's Parties
10.99 € -30 %
Buy
Final Passage
10.79 € -24 %
Buy
Beetlejuice by Loungefly Keychains Mini Backpack Blind Box Assortment (15)
218.20 € -6 %
Pre-order
Deutschbuch - Sprach- und Lesebuch - Grundausgabe 2006 - 10. Schuljahr
36.22 €
Buy
Trees and Forests of Tropical Asia
49.85 €
Buy
Herder Als Theologe: Ein Beitrag Zur Geschichte Der Protestantischen Theologie (1871)
35.42 € -1 %
Buy
Urban woodland management
44.40 € -14 %
Buy

Give this book as a present today

Order book and choose Gift Order.
We will send you book gift voucher at once. You can give it out to anyone.
Book will be send to donee, nothing more to care about.

Book gift voucher sample Read more

Availability alert

We will watch availability for you

Enter your e-mail address and once book will be available,
we will send you a message. It's that simple.

More about Harmonic Analysis Techniques for Elliptic Operators

Book details
Synopsis
Trending among others

You get 193 loyalty points

Book synopsis

The study of the Laplacian through the Fourier transform lies at the center of classical harmonic analysis. It is Plancherel s theorem that intimately links square-integrable functions with the theory of weak derivatives and a symbolic calculus for the Laplacian. Examples include Littlewood Paley inequalities, Riesz transform estimates and Calderón Zygmund extrapolation. Over the last decades, the quest to generalize these properties to elliptic operators L in divergence form with bounded measurable coefficients has triggered the development of new techniques that led to a surge of spectacular results in elliptic and parabolic PDE theory.

Assuming only undergraduate knowledge in analysis and some background on Hilbert spaces and the Fourier transform, the authors develop the cornerstones of this L-adapted Fourier analysis over 14 consecutive lectures. As they delve deeper into the topic, readers make first encounters with maximal functions, Carleson measures and a T(b) theorem. The lectures culminate in a self-contained presentation of the solution to the Kato conjecture, a challenging problem that resisted solution for 40 years until it was finally solved in 2001.

This book can serve as a fully developed curriculum for a first graduate course in harmonic analysis and PDEs. Based on the 27th Internet Seminar on Evolution Equations, organized by the authors in the 2023/24 academic year, each lecture is enriched with original exercises, detailed solutions, and video presentations guiding through each theorem s proof and offering additional insights.