Department of Mathematics and Systems Analysis


Recent publications of the NPDE group

  • P. Garain and J. Kinnunen, On the regularity theory for mixed local and nonlocal quasilinear parabolic equations, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 25 (2025), 495-540. Preprint (PDF)
  • J. Kinnunen, K. Myyryläinen, D. Yang and C. Zhu, Parabolic Muckenhoupt weight with time lag on spacees of homogeneous type with monotone geodesic property, Potential Anal. 60 (2024), no. 4, 1513-1569. DOI 10.1007/s11118-023-10098-1. Preprint (PDF)
  • K. Myyryläinen and D. Yang, Parabolic John-Nirenberg spaces with time lag, Math. Z. 306 (2024), no. 3, Paper No. 46. Preprint (PDF)
  • K. Myyryläinen, Weak Gurov-Reshetnyak class win metric spaces, Proc. Amer. Math. Soc. 152 (2024), no. 5, 2103-2116. Preprint (PDF)
  • B. Avelin, T. Kuusi, P. Nummi, E. Saksman, J. M. Tölle, L. Viitasaari, 1D stochastic pressure equation with log-correlated Gaussian coefficients, (2024). Preprint (PDF)
  • I. Ciotir, D. Goreac and J. M. Tölle, Improved regularity for the stochastic fast diffusion equation, Electron. Comm. Probab. 29 (2024), no. 5, 1–7. DOI: 10.1214/24-ECP575Author accepted manuscript (PDF)
  • W. Kim, J. Kinnunen and L. Särkiö, Lipschitz truncation method for parabolic double-phase systems with applications (2023). Preprint (PDF)
  • P. Garain, J. Kinnunen and W. Kim, on the regularity theory for mixed anisotropic and nonlocal p-Laplace equations and its applications to singular problems, Forum Math. (to appear). Preprint (PDF)
  • J. Kinnunen and K. Myyryläinen, Characterizations of parabolic Muckenhoupt classes, Adv. Math. 444 (2024), Paper. No. 109612.
  • J. Kinnunen, A. Nastasi and C. Pacchiano Camacho, Gradient higher intergrability for double phase problems on metric measure spaces, Proc. Amer. Math. Soc. 152 (2024), no. 3, 1233-1251. Preprint (PDF)
  • E. Hausenblas and J. M. Tölle, The stochastic Klausmeier system and a stochastic Schauder-Tychonoff type theorem, Potential Analysis (2023). DOI: 10.1007/s11118-023-10107-3Author accepted manuscript (PDF)
  • F. Seib, W. Stannat and J. M. Tölle, Stability and moment estimates for the stochastic singular Φ-Laplace equation, J. Differential Equations 377, (2023), 663-693. DOI: 10.1016/j.jde.2023.09.019Author accepted manuscript (PDF)
  • D. Blömker and J. M. Tölle, Singular limits for stochastic equations, Stochastics and Dynamics 23, (2023), no. 5, 2350040, 1–25. DOI: 10.1142/S0219493723500405Author accepted manuscript (PDF)
  • M. Hinz, L. Viitasaari and J. M. Tölle, Variability of paths and differential equations with BV-coefficients, Annales de l'Institut Henri Poincaré B, Probabilités et Statistiques 59, (2023) no. 4, 2036-2082. DOI: 10.1214/22-AIHP1308Author accepted manuscript (PDF)
  • J. Kinnunen, K. Myyryläinen and D. Yang, John-Nirenberg inequalities for parabolic BMO, Math. Ann. 387 (2023), 1125-1162. DOI 10.1007/s00208-022-02480-y. Preprint (PDF)
  • W. Kim, J. Kinnunen and K. Moring, Gradient higher integrability for degenerate parabolic double-phase systems, Arch. Ration. Mech. Anal. 247 (2023) no. 5, 79. DOI 10.1007/s00205-023-01918-0. Preprint (PDF)
  • A. Banerjee, P. Garain and J. Kinnunen, Lower semicontinuity and pointwise behavior of supersolutions for some doubly nonlinear nonlocal parabolic p-Laplace equations. Commun. Contemp. Math. 25 (2023), no. 8, Paper No. 2250032, 23 pp. Preprint (PDF)
  • V. Buffa, M. Collins and C. Pacchiano Camacho, Existence of parabolic minimizers to the total variation flow on metric measure spaces, Manuscripta Math. 170 (2023), 109-145. Preprint (PDF)
  • P. Garain and J. Kinnunen, Weak Harnack inequality for a mixed local and nonlocal parabolic equation. J. Differential Equations 360 (2023), 373-406. Preprint (PDF)
  • J. Kinnunen and K. Myyryläinen, Dyadic John-Nirenberg space, Proc. Roy. Soc. Edinburgh Sect. A 153 (2023), 1-18. Preprint (PDF) 
  • C. Pacchiano Camacho and A. Nastasi, Higher integrability and stability of (p,q)-quasiminimizers, J. Differential Equations 324 (2023), 121-149. Preprint (PDF)

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

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