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/...
Utmärkelser
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
Forskningsgrupp
- Analysis, Professor
Publikationer
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
On the regularity theory for mixed anisotropic and nonlocal p-Laplace equations and its applications to singular problems
Prashanta Garain, Wontae Kim, Juha Kinnunen
2023
FORUM MATHEMATICUM
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
Some local properties of subsolution and supersolutions for a doubly nonlinear nonlocal p-Laplace equation
Agnid Banerjee, Prashanta Garain, Juha Kinnunen
2022
Annali di Matematica Pura ed Applicata
Variational solutions to the total variation flow on metric measure spaces
Vito Buffa, Juha Kinnunen, Cintia Pacchiano Camacho
2022
Nonlinear Analysis, Theory, Methods and Applications