Department of Mathematics and Systems Analysis

Research groups

Selected recent publications

2020

  • A. Banerjee, P. Garain and J. Kinnunen, Some local properties of subsolutions and supersolutions for a doubly nonlinear nonlocal parabolic p-Laplace equation. Preprint (PDF)
  • R. Kr. Giri, J. Kinnunen and K. Moring, Supercaloric functions for the parabolic p-Laplace equation in the fast diffusion case. Preprint (PDF)
  • K. Moring and R. Rainer, Stability for systems of porous medium type. Preprint (PDF)
  • J. Weigt, Variation of the dyadic maximal function. Preprint (PDF)
  • J. Weigt, Variation of the uncenteted maximal characteristic function. Preprint (PDF)
  • V. Buffa, M. Collins and C. Pacchiano Camacho, Existense of parabolic minimizers to the total variation flow on metric measure spaces. Preprint (PDF)
  • V. Bögelein, N. Dietrich and M. Vestberg, Existense of solutions to a diffusive shallow medium equation. Preprint (PDF)
  • P. Garain and J. Kinnunen, Nonexistence of variational minimizers related to a quasilinear singular problem in metric measure spaces, Proc. Amer. Math. Soc. (to appear). Preprint (PDF)
  • V. Vespri and M. Vestberg, An extensive study of the regularity properties of solutions to doubly singular equation, Adv. Calc. Var. (to appear). Preprint (PDF)
  • E.-K. Kurki and A. Vähäkangas, Weighted norm inequalities in a bounded domain by the sparse domination method, Rev. Mat. Complut. (to appear). Preprint (PDF)
  • V. Bögelein, F. Duzaar, J. Kinnunen and C. Scheven, Higher integrability for doubly nonlinear parabolic systems, J. Math. Pures Appl. (9) 143 (2020), 31-72. Preprint (PDF)
  • K. Moring, C. Scheven, S. Schwarzacher and T. Singer, Global higher integrability of weak solutions of porous medium systems, Comm. Pure Appl. Anal. 19 (2020), 1697-1745. Preprint (PDF)
  • J. Ramos, O. Saari and J. Weigt, Weak diffrentiablility for fractional maximal functions of general Lp functions on domains, Adv. Math. 368 (2020), 25 pp. Preprint (PDF)
  • K. Astala, A. Clop, D. Faraco, J. Jääskeläinen and A. Koski, Improved Hölder regularity for strongly elliptic PDEs, J. Math. Pures Appl. (9) 140 (2020), 230-258. Preprint (PDF)


2019

  • T. Singer and M. Vestberg, Local boundedness of weak solutions to the diffusive wave approximation of the shallow water equations, J. Differential Equations 226 (2019), 3014-3033. Preprint (PDF)
  • J. Kinnunen, R. Korte, J. Lehrbäck and A. Vähäkangas, A maximal function approach to two-measure Poincare inequalities, J. Geom. Anal. 29 (2019), 1763-1810. Preprint (PDF)
  • J. Kinnunen, J. L. Lehrbäck, A. Vähäkangas and X. Zhong, Maximal function estimates and self-improving results for Poincare inequalities, Manuscripta Math.158 (2019), 119-147. Preprint (PDF)
  • J. Kinnunen, P. Lehtelä, P. Lindqvist and M. Parviainen, Supercaloric functions for the porous medium equation, J. Evol. Equ. 19 (2019), 249-270. Preprint (PDF)
  • R. Korte, P. Lahti, X. Li and N. Shanmugalingam, Notions of Dirichlet problem for functions of least gradient in metric measure spaces, Revi. Mat. Iberoamericana 35 (2019), 1603-1648. Preprint (PDF)
  • R. Korte, P. Lehtelä and S. Sturm, Lower semicontinuous obstacles for the porous medium equation, J. Differential Equations 266 (2019), 1851-1864. Preprint (PDF)
  • V. Bögelein, F. Duzaar, R. Korte and C. Scheven, The higher integrability of weak solutions of porous medium systems, Adv. Nonlinear Anal. (2019), 1004-10034. Preprint (PDF)

2018

  • P. Baroni, T. Kuusi, C. Lindfors, J. M. Urbano: Existence and boundary regularity for degenerate phase transition, SIAM J. Math. Anal. 50 (2018), 456-490. Preprint (PDF)
  • G. Dafni, T. Hytönen, R. Korte and H. Yue, The space JNp: nontriviality and duality, J. Funct. Anal275 (2018), 577-603. Preprint (PDF)

2017

  • P. Baroni and C. Lindfors, The Cauchy-Dirichlet problem fo a general class of parabolic equations, Ann. Inst. H. Poincare Non Lineaire 34 (2017), 593-624. Preprint (PDF)
  • J. Korvenpää, T. Kuusi and G. Palatucci, Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations, Math. Ann. 369 (2017), 1443-1489. Preprint (PDF)
2016
  • J. Kinnunen, P. Lindqvist and T. Lukkari, Perron's method for the porous medium equation, J. European Math. Soc. 18 (2016), 1711-1736. Preprint (PDF)
  • J. Kinnunen and O. Saari, Parabolic weighted norm inequalities and partial differential equations, Anal. PDE 9 (2016). 1711-1736, Preprint (PDF)
  • L. Berkovits, J. Kinnunen, J. M. Martell, Oscillation estimates, self-improving results and good-lambda inequalities, J. Funct. Anal. 270 (2016), 3559-3590. Preprint (PDF)
  • H. Hakkarainen, J. Kinnunen, P. Lahti and P. Lehtelä, Relaxation and integral representation for functionals of linear growth on metric measure spaces, Anal. Geom. Metr. Spaces 4 (2016), 288-313. Preprint (PDF)

Many more publications can be found on the individual websites of the group members

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