Zobrazeno 1 - 10
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pro vyhledávání: '"Grubb, Gerd"'
Autor:
Abels, Helmut, Grubb, Gerd
We prove optimal regularity results in $L_p$-based function spaces in space and time for a large class of linear parabolic equations with a nonlocal elliptic operator in bounded domains with limited smoothness. Here the nonlocal operator is given by
Externí odkaz:
http://arxiv.org/abs/2312.01864
Autor:
Grubb, Gerd
Publikováno v:
Math. Scand. 129 (2023) 593-612
Let $P$ be a symmetric $2a$-order classical strongly elliptic pseudodifferential operator with even symbol $p(x,\xi )$ on $R^n$ ($0
Externí odkaz:
http://arxiv.org/abs/2210.05605
Autor:
Grubb, Gerd
This is a survey on the use of Fourier transformation methods in the treatment of boundary problems for the fractional Laplacian $(-\Delta)^a$ (0
Externí odkaz:
http://arxiv.org/abs/2208.07175
Autor:
Grubb, Gerd
For $2a$-order strongly elliptic operators $P$ generalizing $(-\Delta )^a$, $0
Externí odkaz:
http://arxiv.org/abs/2111.14763
Autor:
Grubb, Gerd
Publikováno v:
Mathematics in Engineering, 4(4) (2022): 1-33
The paper treats pseudodifferential operators $P=Op(p(\xi ))$ with homogeneous complex symbol $p(\xi )$ of order $2a>0$, generalizing the fractional Laplacian $(-\Delta )^a$ but lacking its symmetries, and taken to act on the halfspace $R^n_+$. The o
Externí odkaz:
http://arxiv.org/abs/2104.05581
Autor:
Grubb, Gerd
Publikováno v:
J. Math. Anal. Applications vol 499 (2021) 125012
For a strongly elliptic pseudodifferential operator $L$ of order $2a$ ($0
Externí odkaz:
http://arxiv.org/abs/2012.13964
Autor:
Abels, Helmut, Grubb, Gerd
Publikováno v:
J. London Math. Soc. (2) 2023;107:1297-1350
The fractional Laplacian $(-\Delta )^a$, $a\in(0,1)$, and its generalizations to variable-coefficient $2a$-order pseudodifferential operators $P$, are studied in $L_q$-Sobolev spaces of Bessel-potential type $H^s_q$. For a bounded open set $\Omega \s
Externí odkaz:
http://arxiv.org/abs/2004.10134
Akademický článek
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Autor:
Grubb, Gerd
Publikováno v:
Math.Scand. 126 (2020) 568-592
Let $\Omega $ be an open, smooth, bounded subset of $ \Bbb R ^n$. In connection with the fractional Laplacian $(-\Delta )^a$ ($a>0$), and more generally for a $2a$-order classical pseudodifferential operator ($\psi $do) $P$ with even symbol, one can
Externí odkaz:
http://arxiv.org/abs/1904.03648
