Musterbildung, Energielandschaften und Skalierungsgesetze

Direktor:
Felix Otto

Kontakt: Email
Telefon:
+49 (0) 341 - 9959 - 950
Fax:
+49 (0) 341 - 9959 - 658

Anschrift:
Inselstr. 22
04103 Leipzig

Sekretariat:
Katja Heid
Email, Telefon:
+49 (0) 341 - 9959 - 951

Gradient flows and optimal transportation

  1. Felix Otto ; Maxime Prod'homme and Tobias Ried: Variational approach to regularity of optimal transport maps : general cost functions
    In: Annals of PDE, 7 (2021) 2, 17
    MIS-Preprint: 20/2021 [DOI] [ARXIV]

  2. Tatsuya Miura and Felix Otto: Sharp boundary \(\varepsilon\)-regularity of optimal transport maps
    In: Advances in mathematics, 381 (2021), 107603
    [DOI] [ARXIV]

  3. Michael Goldman ; Martin Huesmann and Felix Otto: Quantitative linearization results for the Monge-Ampère equation
    In: Communications on pure and applied mathematics, 74 (2021) 12, p. 2483-2560
    [DOI] [ARXIV]

  4. Michael Goldman ; Martin Huesmann and Felix Otto: A large-scale regularity theory for the Monge-Ampere equation with rough data and application to the optimal matching problem

  5. Felix Otto: The impact of the SIAM Journal on Mathematical Analysis' most popular paper
    In: SIAM news, 51 (2018) 5, p. 9-9
    [FREELINK]

  6. Felix Otto and Michael Goldman: Regularity for Monge-Ampère by Benamou-Brenier [In: Applications of optimal transportation in the natural sciences ; 29 January - 4 February 2017 ; report no. 7/2017]
    In: Oberwolfach reports, 14 (2017) 1, p. 345-347
    [DOI] [FREELINK]

  7. Felix Otto: Nonlinear partial differential equations and interfacial motions as gradient flow
    In: The role of metrics in the theory of partial differential equations : [program and abstracts] ; July 2-13, 2018 ; Hokkaido University, Sapporo / Yoshikazu Giga... (eds.)
    Sapporo : Hokkaido University, 2018. - P. 33-43
    (Hokkaido University technical report series in mathematics ; 174)
    [DOI]

  8. Michael Goldman and Felix Otto: A variational proof of partial regularity for optimal transportation maps
    In: Annales scientifiques de l'Ecole Normale Supérieure, 53 (2020) 5, p. 1209-1233
    [DOI] [ARXIV]

  9. Elias Esselborn ; Nicola Gigli and Felix Otto: Algebraic contraction rate for distance between entropy solutions of scalar conservation laws
    In: Journal of mathematical analysis and applications, 435 (2015) 2, p. 1525-1551
    MIS-Preprint: 9/2015 [DOI]

  10. Alexander Mielke ; Felix Otto ; Giuseppe Savaré and Ulisse Stefanelli: Variational methods for evolution ; December 4th - December 10th, 2011 ; report no. 55/2011
    In: Oberwolfach reports, 8 (2011) 4, p. 3145-3216
    [DOI] [FREELINK]

  11. Nicola Gigli and Felix Otto: Entropic Burgers' equation via a minimizing movement scheme based on the Wasserstein metric
    In: Calculus of variations and partial differential equations, 47 (2013) 1-2, p. 181-206
    MIS-Preprint: 39/2012 [DOI]

  12. Felix Otto and Karl-Theodor Sturm: Arbeitsgemeinschaft : Optimal transport and geometry ; March 29th - April 4th, 2009 ; report no. 18/2009
    In: Oberwolfach reports, 6 (2009) 2, p. 983-1018
    [DOI]

  13. Tony Lelièvre ; Felix Otto ; Mathias Rousset and Gabriel Stoltz: Long-time convergence of an adaptive biasing force method

  14. Felix Otto and Michael Westdickenberg: Eulerian calculus for the contraction in the Wasserstein distance
    In: SIAM journal on mathematical analysis, 37 (2006) 4, p. 1227-1255
    [DOI] [FREELINK]

  15. Felix Otto: The geometry of dissipative evolution equations: the porous medium equation
    In: Communications in partial differential equations, 26 (2001) 1-2, p. 101-174
    MIS-Preprint: 8/1999 [DOI]

  16. Felix Otto: The geometry of dissipative evolution equations : the porous medium equation [In: Partial differential equations ; 13.06. - 19.06.1999 ; Tagungsbericht 26/1999]
    In: Oberwolfach reports, 1999 (1999) 24, p. 7-7
    [DOI]

  17. Richard Jordan ; David Kinderlehrer and Felix Otto: The route to stability through Fokker-Planck dynamics
    In: Differential equations and applications : proceedings of the US-Chinese conference, held in Hangzhou, June 24 - 29, 1996 / edited by P. W. Bates ... / P. W. Bates (ed.)
    Boston [u. a.] : International Press, 1997. - P. 108-126

  18. Richard Jordan ; David Kinderlehrer and Felix Otto: Free energy and the Fokker-Planck equation
    In: Physica / D, 107 (1997) 2-4, p. 265-271
    [DOI]

  19. Richard Jordan ; David Kinderlehrer and Felix Otto: The variational formulation of the Fokker-Planck equation
    In: SIAM journal on mathematical analysis, 29 (1998) 1, p. 1-17
    [DOI] [FREELINK]

  20. Felix Otto: Dynamics of labyrinthine pattern formation in magnetic fluids : a mean-field theory
    In: Archive for rational mechanics and analysis, 141 (1998) 1, p. 63-103
    [DOI]

  21. Felix Otto: Doubly degenerate diffusion equations as steepest descent

17.08.2022, 06:05