Juha Kinnunen

Professor
Professor
T302 Dept. Mathematics and Systems Analysis

My research area is mathematical analysis, more precisely, theoretical aspects of nonlinear partial differential equations. The main focus is on regularity theory for a wide class of singular and degenerate elliptic and parabolic equations. These equations are connected to many different applications, such as diffusion in highly nonhomogeneous media and the motions of multiphased fluids in porous media. Methods from harmonic analysis are applied extensively and the research is also conducted in nonsmooth contexts, ultimately in metric measure spaces.

Full researcher profile
https://research.aalto.fi/...
Sähköposti
[email protected]
Puhelinnumero
+358504305757

Palkinnot

Member of the Finnish Academy of Science and Letters

Award or honor granted for academic or artistic career Department of Mathematics and Systems Analysis Jan 2014

Apuraha Suomalainen Tiedeakatemia, Finland

Award or honor granted for a specific work Department of Mathematics and Systems Analysis Jan 2004

Väisälä Prize Finnish Academy of Science and Letters, Finland

Award or honor granted for a specific work Department of Mathematics and Systems Analysis Jan 2005

Tutkimusryhmät

  • Analysis, Professor

Julkaisut

Characterizations of parabolic Muckenhoupt classes

Juha Kinnunen, Kim Myyryläinen 2024 Advances in Mathematics

Gradient higher integrability for double phase problems on metric measure spaces

Juha Kinnunen, Antonella Nastasi, Cintia Pacchiano Camacho 2024 Proceedings of the American Mathematical Society

Supersolutions to nonautonomous Choquard equations in general domains

Asadollah Aghajani, Juha Kinnunen 2023 Advances in Nonlinear Analysis

Lower semicontinuity and pointwise behavior of supersolutions for some doubly nonlinear nonlocal parabolic p-Laplace equations

Agnid Banerjee, Prashanta Garain, Juha Kinnunen 2023 Communications in Contemporary Mathematics

Weak Harnack inequality for a mixed local and nonlocal parabolic equation

Prashanta Garain, Juha Kinnunen 2023 Journal of Differential Equations

Gradient Higher Integrability for Degenerate Parabolic Double-Phase Systems

Wontae Kim, J Kinnunen, K Moring 2023 Archive for Rational Mechanics and Analysis

Dyadic John-Nirenberg space

Juha Kinnunen, Kim Myyryläinen 2023 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A: MATHEMATICS

John–Nirenberg inequalities for parabolic BMO

Juha Kinnunen, Kim Myyryläinen, Dachun Yang 2023 MATHEMATISCHE ANNALEN

Parabolic Muckenhoupt Weights with Time Lag on Spaces of Homogeneous Type with Monotone Geodesic Property

Juha Kinnunen, Kim Myyryläinen, Dachun Yang, Chenfeng Zhu 2023 Potential Analysis