Associate Professor, University of Hamburg

Email: thomas.schmidt AT math.uni-hamburg.de

Home-page: http://www.math.uni-hamburg.de/home/schmidt

arxiv id: schmidt_t_2

orcid id: 0000-0001-6361-2168

Available papers (24):

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• E. Ficola - T. Schmidt (Submitted Paper)
  Lower semicontinuity and existence results for anisotropic TV functionals with signed measure data (2024)
• T. Schmidt - J. H. Schütt (Calc. Var. Partial Differ. Equ.)
  The optimal Hölder exponent in Massari’s regularity theorem (2023)
• T. Schmidt (Submitted Paper)
  Isoperimetric conditions, lower semicontinuity, and existence results for perimeter functionals with measure data (2023)
• S. Piontek - T. Schmidt (ESAIM, Control Optim. Calc. Var.)
  Higher integrability for the gradient of Mumford-Shah almost-minimizers (2020)
• L. Ambrosio - C. De Lellis - T. Schmidt (J. Reine Angew. Math.)
  Partial regularity for mass-minimizing currents in Hilbert spaces (2018)
• C. Scheven - T. Schmidt (Ann. Inst. Henri Poincaré, Anal. Non Linéaire)
  On the dual formulation of obstacle problems for the total variation and the area functional (2018)
• C. Scheven - T. Schmidt (J. Differ. Equations)
  BV supersolutions to equations of 1-Laplace and minimal surface type (2016)
• L. Beck - T. Schmidt (Nonlinear Anal., Theory Methods Appl.)
  Interior gradient regularity for $\rm BV$ minimizers of singular variational problems (2015)
• T. Schmidt (Proc. Am. Math. Soc.)
  Strict interior approximation of sets of finite perimeter and functions of bounded variation (2015)
• L. Beck - T. Schmidt (J. Funct. Anal.)
  Convex duality and uniqueness for $\rm BV$-minimizers (2015)
• C. Scheven - T. Schmidt (Preprint)
  An Anzellotti type pairing for divergence-measure fields and a notion of weakly super-$1$-harmonic functions (2015)
• T. Schmidt (Habilitation Thesis)
  $\rm BV$ Minimizers of Variational Integrals: Existence, Uniqueness, Regularity (2015)
• T. Schmidt (Indiana Univ. Math. J.)
  Partial regularity for degenerate variational problems and image restoration models in $\rm BV$ (2014)
• T. Schmidt (Adv. Math.)
  ${\rm W}^{2,1+\varepsilon}$ estimates for the Monge-Ampère equation (2013)
• L. Ambrosio - T. Schmidt (Proc. Lond. Math. Soc. (3))
  Compactness results for normal currents and the Plateau problem in dual Banach spaces (2013)
• L. Beck - T. Schmidt (J. Reine Angew. Math.)
  On the Dirichlet problem for variational integrals in $BV$ (2013)
• M. Carozza - A. Passarelli di Napoli - T. Schmidt - A. Verde (Q. J. Math.)
  Local and asymptotic regularity results for quasiconvex and quasimonotone problems (2012)
• C. Scheven - T. Schmidt (J. Differ. Equations)
  Asymptotically regular problems I: Higher integrability (2010)
• S. Schemm - T. Schmidt (Proc. R. Soc. Edinb., Sect. A, Math.)
  Partial regularity of strong local minimizers of quasiconvex integrals with $(p,q)$-growth (2009)
• C. Scheven - T. Schmidt (Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5))
  Asymptotically regular problems II: Partial Lipschitz continuity and a singular set of positive measure (2009)
• T. Schmidt (NoDEA, Nonlinear Differ. Equ. Appl.)
  A simple partial regularity proof for minimizers of variational integrals (2009)
• T. Schmidt (Arch. Ration. Mech. Anal.)
  Regularity of relaxed minimizers of quasiconvex variational integrals with $(p,q)$-growth (2009)
• T. Schmidt (Adv. Calc. Var.)
  Regularity theorems for degenerate quasiconvex energies with $(p,q)$-growth (2008)
• T. Schmidt (Calc. Var. Partial Differ. Equ.)
  Regularity of minimizers of $W^{1,p}$-quasiconvex variational integrals with $(p,q)$-growth (2008)

Seminars:

• 27 mar 2013: Strict approximation, convex duality, uniqueness, and regularity for BV-minimizers
• 18 jan 2012: Variational integrals with linear growth

Speaker:

• 4 oct 2023 - 6 oct 2023: Conference on Trends in Analysis 2023
• 20 mar 2023 - 22 mar 2023: Calculus of Variations: Regularity Theory and Limiting Spaces
• 13 jun 2022 - 17 jun 2022: Advances in Calculus of Variations
• 11 jul 2016 - 15 jul 2016: THE TOTAL VARIATION FLOW AND RELATED NONLINEAR EVOLUTION PROBLEMS
• 7 oct 2013 - 11 oct 2013: ERC-Workshop on Geometric Measure Theory, Analysis in Metric Spaces and Real Analysis