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Patrick Tolksdorf
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The Kato square root problem for mixed boundary conditions
M Egert, R Haller-Dintelmann, P Tolksdorf
Journal of Functional Analysis 267 (5), 1419-1461, 2014
412014
-sectoriality of higher-order elliptic systems on general bounded domains
P Tolksdorf
Journal of Evolution Equations 18, 323-349, 2018
272018
On the -theory of the Navier–Stokes equations on three-dimensional bounded Lipschitz domains
P Tolksdorf
Mathematische Annalen 371, 445-460, 2018
232018
Free boundary problems via Da Prato-Grisvard theory
R Danchin, M Hieber, PB Mucha, P Tolksdorf
arXiv preprint arXiv:2011.07918, 2020
222020
On the L^ p-theory of the Navier-Stokes equation on Lipschitz domains
P Tolksdorf
Technische Universität, 2017
202017
Characterizations of Sobolev functions that vanish on a part of the boundary
M Egert, P Tolksdorf
arXiv preprint arXiv:1609.05749, 2016
202016
The Kato square root problem follows from an extrapolation property of the Laplacian
M Egert, R Haller-Dintelmann, P Tolksdorf
182016
The periodic version of the Da Prato–Grisvard theorem and applications to the bidomain equations with FitzHugh–Nagumo transport
M Hieber, N Kajiwara, K Kress, P Tolksdorf
Annali di Matematica Pura ed Applicata (1923-) 199 (6), 2435-2457, 2020
122020
Lorentz spaces in action on pressureless systems arising from models of collective behavior
R Danchin, P Bogusław Mucha, P Tolksdorf
Journal of Evolution Equations, 1-25, 2021
112021
The Navier–Stokes equations in exterior Lipschitz domains: Lp-theory
P Tolksdorf, K Watanabe
Journal of Differential Equations 269 (7), 5765-5801, 2020
112020
On the -theory for second-order elliptic operators in divergence form with complex coefficients
AFM ter Elst, R Haller-Dintelmann, J Rehberg, P Tolksdorf
Journal of Evolution Equations 21 (4), 3963-4003, 2021
102021
The Stokes resolvent problem: optimal pressure estimates and remarks on resolvent estimates in convex domains
P Tolksdorf
Calculus of Variations and Partial Differential Equations 59 (5), 154, 2020
82020
Critical regularity issues for the compressible Navier–Stokes system in bounded domains
R Danchin, P Tolksdorf
Mathematische Annalen 387 (3), 1903-1959, 2023
72023
The Stokes operator in two-dimensional bounded Lipschitz domains
F Gabel, P Tolksdorf
Journal of differential equations 340, 227-272, 2022
62022
Extendability of functions with partially vanishing trace
S Bechtel, RM Brown, R Haller-Dintelmann, P Tolksdorf
arXiv preprint arXiv:1910.06009, 2019
62019
Nematic liquid crystals in Lipschitz domains
AP Choudhury, A Hussein, P Tolksdorf
SIAM Journal on Mathematical Analysis 50 (4), 4282-4310, 2018
52018
Strong Time Periodic Solutions to the Bidomain Equations with FitzHugh-Nagumo Type Nonlinearities
M Hieber, N Kajiwara, K Kress, P Tolksdorf
arXiv preprint arXiv:1708.05304, 2017
52017
A non-local approach to the generalized Stokes operator with bounded measurable coefficients
P Tolksdorf
arXiv preprint arXiv:2011.13771, 2020
22020
-extrapolation of non-local operators: Maximal regularity of elliptic integrodifferential operators with measurable coefficients
P Tolksdorf
Journal of Evolution Equations 21 (3), 3129-3151, 2021
12021
The Kato square root problem for mixed boundary conditions
P Tolksdorf
Master's thesis, TU Darmstadt, Darmstadt, 2013
12013
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