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
Kaffee und Tee im Sitzungszimmer (R206). Olaf Ippisch Veranstalter: Institut für Mathematik, Erzstraße 1, 38678 Clausthal-Zellerfeld Weitere Informationen
Kaffee und Tee im Sitzungszimmer (R206). Olaf Ippisch Veranstalter: Institut für Mathematik ,Erzstraße 1, 38678 Clausthal-Zellerfeld Weitere Informationen
Kaffee und Tee im Sitzungszimmer (R206). Olaf Ippisch Veranstalter: Institut für Mathematik ,Erzstraße 1, 38678 Clausthal-Zellerfeld Weitere Informationen
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
