Research

My research area is mathematical analysis, more precisely, theoretical aspects of nonlinear partial differential equations. The main focus is on the 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 non-smooth contexts, ultimately in metric measure spaces.

The Nonlinear PDE group website

The group is based at Aalto University School of Science with close ties to several other Finnish and foreign universities.
In our research we rely heavily on group work and international collaboration.

Recent invited talks
Research Term on Real Harmonic Analysis and its Applications to Partial Differential Equations and Geometric Measure Theory (ICMAT 2018)
New Developments in Nonlinear Partial Differential Equations (Bangalore 2017)
Equadiff 2017 (Bratislava)
Harnack's Inequalities and Nonlinear Operators (Cortona 2017)
New Trends on Calculus of Variations and PDEs (Firenze-Montecatini  2017)
Around Analysis, Domains and Mappings (Jyväskylä 2016)
The Total Variation Flow and Related
Nonlinear Evolution Problems
(Salzburg 2016)
Workshop on Nonlinear PDEs
(Sendai 2016)
Analysis and Geometry in Metric Spaces (ICMAT 2015)
Congreso de la RSME 2015
(Granada 2015)
Singular and Degenerate Evolution
Problems (Cortona 2014)
Nonlinear Partial Differential Equations and Stochastic Methods
(Jyväskylä 2014)
Recent Advances in Nonlinear PDE and Calculus of Variations (Reading 2014)

Contact information

Aalto University, School of Science, Department of Mathematics and Systems Analysis
P.O. Box 11100, FI-00076 Aalto, Finland.
Phone :
+358 50 430 5757. juha.k.kinnunen@aalto.fi

Website at Aalto University: https://math.aalto.fi/en/people/juha.kinnunen

Mathematics Genealogy Project and ResearchGate