$\mathcal {R}$-Boundedness, Fourier Multipliers and Problems of Elliptic and Parabolic Type

$\mathcal {R}$-Boundedness, Fourier Multipliers and Problems of Elliptic and Parabolic Type
Author :
Publisher : American Mathematical Soc.
Total Pages : 130
Release :
ISBN-10 : 9780821833780
ISBN-13 : 0821833782
Rating : 4/5 (782 Downloads)

Book Synopsis $\mathcal {R}$-Boundedness, Fourier Multipliers and Problems of Elliptic and Parabolic Type by : Robert Denk

Download or read book $\mathcal {R}$-Boundedness, Fourier Multipliers and Problems of Elliptic and Parabolic Type written by Robert Denk and published by American Mathematical Soc.. This book was released on 2003 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: The property of maximal $L_p$-regularity for parabolic evolution equations is investigated via the concept of $\mathcal R$-sectorial operators and operator-valued Fourier multipliers. As application, we consider the $L_q$-realization of an elliptic boundary value problem of order $2m$ with operator-valued coefficients subject to general boundary conditions. We show that there is maximal $L_p$-$L_q$-regularity for the solution of the associated Cauchy problem provided the top order coefficients are bounded and uniformly continuous.


$\mathcal {R}$-Boundedness, Fourier Multipliers and Problems of Elliptic and Parabolic Type Related Books

$\mathcal {R}$-Boundedness, Fourier Multipliers and Problems of Elliptic and Parabolic Type
Language: en
Pages: 130
Authors: Robert Denk
Categories: Mathematics
Type: BOOK - Published: 2003 - Publisher: American Mathematical Soc.

GET EBOOK

The property of maximal $L_p$-regularity for parabolic evolution equations is investigated via the concept of $\mathcal R$-sectorial operators and operator-valu
Mathematical Analysis of the Navier-Stokes Equations
Language: en
Pages: 471
Authors: Matthias Hieber
Categories: Mathematics
Type: BOOK - Published: 2020-04-28 - Publisher: Springer Nature

GET EBOOK

This book collects together a unique set of articles dedicated to several fundamental aspects of the Navier–Stokes equations. As is well known, understanding
Mean Field Games
Language: en
Pages: 316
Authors: Yves Achdou
Categories: Mathematics
Type: BOOK - Published: 2021-01-19 - Publisher: Springer Nature

GET EBOOK

This volume provides an introduction to the theory of Mean Field Games, suggested by J.-M. Lasry and P.-L. Lions in 2006 as a mean-field model for Nash equilibr
Singular Limits in Thermodynamics of Viscous Fluids
Language: en
Pages: 411
Authors: Eduard Feireisl
Categories: Science
Type: BOOK - Published: 2009-03-28 - Publisher: Springer Science & Business Media

GET EBOOK

Many interesting problems in mathematical fluid dynamics involve the behavior of solutions of nonlinear systems of partial differential equations as certain par
Convergence and Summability of Fourier Transforms and Hardy Spaces
Language: en
Pages: 446
Authors: Ferenc Weisz
Categories: Mathematics
Type: BOOK - Published: 2017-12-27 - Publisher: Birkhäuser

GET EBOOK

This book investigates the convergence and summability of both one-dimensional and multi-dimensional Fourier transforms, as well as the theory of Hardy spaces.