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