for vector-valued functions in L^1 fulfilling a co-canceling differential condition. This work demonstrates that such a property is not just peculiar to the space L^1. Indeed, under the same differential […] well-known to be equivalent to Sobolev inequalities of the same order for domain norms "far" from L^1, but to be weaker otherwise. Recent contributions by Van Schaftingen, by Hernandez, Raita and Spector […] Lorentz-Zygmund spaces. Especially relevant instances of inequalities for domain spaces neighboring L^1 are singled out. This is joined work with Andrea Cianchi and Daniel Spector.
x}(\mathbb{R}_+\times\mathbb{R}^n)$ and then in $L^q_{t}(\mathbb{R}_+, L^p_{x}(\mathbb{R}^n))$, with $1\leqslant p,q\leqslant + \infty$. We will first treat the case $p=2$, introducing fractional Sobolev
coefficient. We prove maximal regularity estimates (including the prominent spaces $W^{1,p}$ and $W^{2,p}$ for $p\in(1,\infty)$ for the velocity field) in bounded domains of minimal regularity. Interestingly
particular, as KdV possesses only half as many conservation laws as ILW and BO, we observe a novel 2-to-1 collapse of ILW conservation laws to those of KdV, which yields alternating modes of convergence for
time $\mathrm{L}^q$-maximal regularity results, such as, for example, an $\mathrm{L}^1_t(\dot{\mathrm{B}}^{s}_{p,1})$ result, which can be of central interest in viscous fluid mechanics.
martingale solution. In the lifespan of a pathwise strong solution we obtain at least convergence of order 1/2. The results built a counterpart of corresponding results in the deterministic case.
conditions. We provide a maximal regularity theory in Campanato spaces (inlcuding BMO and C^{0,α} for 0<α<1 as special cases) under minimal assumptions on the regularity of the underlying domain. Our approach
9 chapters of the book in LaTeX designed for the use of the LaTeX Beamer Class . Overview: Chapter 1: Jason Chapter 2: 3APL Chapter 3: Claim Sympa Chapter 4: Impact Chapter 5: Jade Chapter 6: Jadex Chapter
Modular BDI Architecture and Agent Oriented Programming Funding AAMAS and ERASMUS Grant Program, 1.400 € (of 1.400 € total) Project Description One of the main challenges in agent-oriented programming is the
