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 …

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 …

抄録 This survey article discusses various aspects of modeling and analysis of the Ericksen-
Leslie equations describing nematic liquid crystal flow both in the isothermal and non …

Parametric finite elements lead to very efficient numerical methods for surface evolution
equations. We introduce several computational techniques for curvature driven evolution …

This paper is a continuation of Part I of this project, where we developed a new local well-
posedness theory for nonlinear stochastic PDEs with Gaussian noise. In the current Part II …

In this paper we investigate maximal L q-regularity for time-dependent viscous Hamilton–
Jacobi equations with unbounded right-hand side and superlinear growth in the gradient …

This paper is concerned with the problem of regularization by noise of systems of reaction–
diffusion equations with mass control. It is known that strong solutions to such systems of …

We consider the Muskat problem describing the motion of two unbounded immiscible fluid
layers with equal viscosities in vertical or horizontal two-dimensional geometries. We first …

We present a comprehensive theory of critical spaces for the broad class of quasilinear
parabolic evolution equations. The approach is based on maximal L p-regularity in time …