Dr. Sebastian Schwarzacher

Katedra matematické analýzy
Matematicko-fyzikální fakulta Univerzity Karlovy
Sokolovská 83
186 75 Praha 8

Email: schwarz@karlin.mff.cuni.cz

Tel:   +420 221 913 414

Curriculum Vitae

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MathSciNet (external)


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Research interests




Teaching

Students that are interested in a Bachelor, Master or PhD thesis can find here a list of subjects.

Summerterm 2017:


Winterterm 2016/2017:




Selected Publications

[14] F. Rindler, S. Schwarzacher, E. Suli: Regularity and approximation of strong solutions to rate-independent systems (2017), accepted at M3AS Preprint.

[13] L. Diening, S. Schwarzacher, B. Stroffolini and A. Verde: Parabolic Lipschitz truncation and Caloric Approximation (2017), accepted at Calc. of Var. and PDE Preprint.

[12] D. Breit, A. Cianchi, L. Diening, T. Kuusi and S. Schwarzacher: Pointwise Calderon-Zygmund gradient estimates for the p-Laplace system, (2017), in press at JMPA, https://doi.org/10.1016/j.matpur.2017.07.011, Preprint.

[11] M. Bulicek, J. Burczak and S. Schwarzacher: A unified theory for some non Newtonian fluids under singular forcing, SIAM J. Math. Anal., (2016), vol. 48, p. 4241–4267. Preprint.

[10] M. Bulicek and S. Schwarzacher: Existence of very weak solutions to elliptic systems of p-Laplacian type, Calc. of Var. and PDE, (2016), vol. 55, 14 pp Preprint.

[9] M. Bulicek, L. Diening and S. Schwarzacher: Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems, Analysis and PDE, (2016), vol. 9, p. 1115–1151 Preprint.

[8] J. Frehse, S. Schwarzacher: On regularity of the time derivative for degenerate parabolic systems, SIAM J. Math. Anal., (2015), vol. 47, p.3917-3943 Preprint.

[7] D. Breit, L. Diening, S. Schwarzacher: Finite element methods for the p(.)-Laplacian, SIAM J. Numer. Anal., (2015), vol. 53, p. 551-572 Preprint.

[6] L. Diening, P. Kaplicky, S. Schwarzacher: Campanato estimates for the generalized Stokes System. Ann. Mat. Pura Appl., (2014), vol. 193, p. 1779-1794 Preprint.

[5] L. Diening, S. Schwarzacher: Global gradient estimates for the p(.)-Laplacian, Nonlinear Anal., (2014), vol. 106, p. 70-85 Preprint.

[4] S. Schwarzacher: Hölder-Zygmund Estimates for Parabolic Degenerate Systems. J. Differential Equations, (2014), vol. 256, p. 2423-2448 Preprint.

[3] D. Breit, L. Diening, S. Schwarzacher: Solenoidal Lipschitz truncation for parabolic PDE's. Math. Models Methods Appl. Sci., (2013), vol. 23, p. 2671-2700 Preprint.

[2] L. Diening, Ch. Kreuzer, S. Schwarzacher: Convex Hull Property and Maximum Principles for Finite Element Minimizers of General Convex Functionals. Numer. Math. (2013), vol. 124, p. 685-700. Preprint.

[1] L. Diening, P. Kaplicky, S. Schwarzacher: BMO estimates for the p-Laplacian, Nonlinear Anal., (2012), Vol. 75, p. 637-650, Preprint.




Recent Preprints

[5] A. Cianchi and S. Schwarzacher: Potential estimates for the p-Laplace system with data in divergence form, (2017), Preprint.

[4] D. Breit and S. Schwarzacher: Compressible fluids interacting with a linear-elastic shell (2017), submitted Preprint.

[3] Y. Lu and S. Schwarzacher: Homogenization of the compressible Navier-Stokes equations in domains with very tiny holes (2017), submitted Preprint.

[2] U. Gianazza and S. Schwarzacher: Self-improving property of degenerate parabolic equations of porous medium-type (2016), submitted Preprint.

[1] L. Diening, T. Scharle and S. Schwarzacher: Regularity for parabolic systems of Uhlenbeck type with Orlicz growth (2016), submitted Preprint.