Juha Kinnunen
Institutionen för matematik och systemanalys

Juha Kinnunen

Professor

Kontakt information

Postadress
Otakaari 1 F, 02150 Espoo
Mobile phone
+358504305757
Full researcher profile
https://research.aalto.fi/...

Beskrivning

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.

Utmärkelser

Award or honor granted for a specific work
Institutionen för matematik och systemanalys
Jan 2005

Väisälä Prize Finnish Academy of Science and Letters, Finland

Award or honor granted for a specific work
Institutionen för matematik och systemanalys
Jan 2004

Apuraha Suomalainen Tiedeakatemia, Finland

Award or honor granted for academic career
Institutionen för matematik och systemanalys
Jan 2014

Member of the Finnish Academy of Science and Letters

Publikationer

Institutionen för matematik och systemanalys

Maximal function estimates and self-improvement results for Poincaré inequalities

Publishing year: 2019 Manuscripta Mathematica
Institutionen för matematik och systemanalys

A median approach to differentiation bases

Publishing year: 2019 RENDICONTI LINCEI: MATEMATICA E APPLICAZIONI
Institutionen för matematik och systemanalys

A maximal Function Approach to Two-Measure Poincaré Inequalities

Publishing year: 2018 JOURNAL OF GEOMETRIC ANALYSIS
Institutionen för matematik och systemanalys

Supercaloric functions for the porous medium equation

Publishing year: 2018 Journal of Evolution Equations
Institutionen för matematik och systemanalys

Maximal Function Estimates and Self-improvement Results for Poincaré Inequalities

Publishing year: 2017 arXiv.org
Institutionen för matematik och systemanalys

Oscillation estimates, self-improving results and good-λ inequalities

Publishing year: 2016 Journal of Functional Analysis
Institutionen för matematik och systemanalys

Resistance conditions, Poincaré inequalities, the Lip-lip condition and Hardy's inequalities

Publishing year: 2016 DEMONSTRATIO MATHEMATICA
Institutionen för matematik och systemanalys

On weights satisfying parabolic Muckenhoupt conditions

Publishing year: 2016 NONLINEAR ANALYSIS: THEORY METHODS AND APPLICATIONS
Institutionen för matematik och systemanalys

Unbounded supersolutions of some quasilinear parabolic equations: A dichotomy

Publishing year: 2016 NONLINEAR ANALYSIS: THEORY METHODS AND APPLICATIONS
Institutionen för matematik och systemanalys

Relaxation and Integral Representation for Functionals of Linear Growth on Metric Measure spaces

Publishing year: 2016 ANALYSIS AND GEOMETRY IN METRIC SPACES