[图书][B] Analysis in Banach spaces

Over the past fifteen years, motivated by regularity problems in evolution equations, there
has been tremendous progress in the analysis of Banach space-valued functions and …

[图书][B] Moving interfaces and quasilinear parabolic evolution equations

J Prüss, G Simonett - 2016 - Springer
Moving interfaces–and in the stationary case, free boundaries–are ubiquitous in our
environment and daily life. They are at the basis of many physical, chemical, and also …

[图书][B] Fractional differential equations

B Jin - 2021 - Springer
Fractional differential equations (FDES), ie, differential equations involving fractional-order
derivatives, have received much recent attention in engineering, physics, biology and …

The Stokes equation in the Lp-setting: well-posedness and regularity properties

MG Hieber, J Saal - Handbook of mathematical analysis …, 2018 - waseda.elsevierpure.com
抄録 This article discusses the Stokes equation in various classes of domains Ω CR n within
the L p-setting for 1≤ p≤∞ from the point of view of evolution equations. Classical as well …

[图书][B] Linear and quasilinear parabolic problems

H Amann - 1995 - Springer
The foundations of this outstanding book series were laid in 1944. Until the end of the
1970s, a total of 77 volumes appeared, including works of such distinguished …

[图书][B] The functional calculus for sectorial operators

M Haase, M Haase - 2006 - Springer
In Section 2.1 the basic theory of sectorial operators is developed, including examples and
the concept of sectorial approximation. In Section 2.2 we introduce some notation for certain …

[图书][B] -Boundedness, Fourier Multipliers and Problems of Elliptic and Parabolic Type

R Denk, M Hieber, J Prüss - 2003 - books.google.com
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 …

Maximal L p-regularity for Parabolic Equations, Fourier Multiplier Theorems and-functional Calculus

PC Kunstmann, L Weis - Functional analytic methods for evolution …, 2004 - Springer
In these lecture notes we report on recent breakthroughs in the functional analytic approach
to maximal regularity for parabolic evolution equations, which set off a wave of activity in the …

[图书][B] New difference schemes for partial differential equations

A Ashyralyev, PE Sobolevskii - 2012 - books.google.com
This book explores new difference schemes for approximating the solutions of regular and
singular perturbation boundary-value problems for PDEs. The construction is based on the …

A new approach to maximal Lp-regularity

L Weis - Evolution equations and their applications in physical …, 2019 - taylorfrancis.com
Evolution equations and their applications in physical and life sciences Page 1 A New
Approach to Maximal Lp-Regularity LUTZ WEIS Universitat Karlsruhe, Mathematisches Institut …