

1966  1969  Assistant Professor, University of Frankfurt  1969  1970  Postdoc, National Research Council (CNR), Rome, Italy  1970  Habilitation, University of Frankfurt  1972  DFG research, Pisa, Italy  1972  1973  Substitution Professor (C4), University of Heidelberg  1973  Visiting Associate Professor, University of California, Berkeley, CA, USA  1973  2010  Professor (C4), University of Bonn  Since 2010  Professor Emeritus, University of Bonn 


Mainly I consider myself as a specialist in regularity theory in the field of nonlinear elliptic and parabolic equations and variational inequalities. Besides the classical meaning, “regularity” may also mean “improved pintegrability” or “improved fractional differentiability” in situations where more regularity cannot be obtained (e.g. see my work on compressible fluids and elasticplastic deformation with hardening). The equations considered come from continuum mechanics, fluid mechanics, Bellmann system to stochastic games. Euler equations to variational problems motivated by differential geometry. In the last two years, I developed, in collaboration with Miroslav Bulicek, several new weighted norm techniques which allow to treat a considerable broader class of variational problems with pgrowth, and also stochastic differential games like Stackelberg games rather than Nash games. These techniques will be applied in the framework of mean field games in the sense of LasryLions, furthermore for proving the long time existence of certain variational flows. A recent manuscript on the Prandtl Reuss problem (submitted) yields a new technique to obtain fractional derivatives of stress velocities. This improves the regularity theory of related problems in several directions.


DFG Collaborative Research Center SFB 611 “Singular Phenomena and Scaling in Mathematical Models”
Project leader (with S. Conti), “Analysis von Multikomponentensystemen”
DAAD Project “Stochastic Differential Games and Partial Differential Systems in Financial Markets”, Exchange program Hong Kong/Bonn
“Regularity theory for nonlinear elliptic and parabolic differential equations”
“Stationary compressible fluids”
“Long time behaviour of pfluids”
“Regularity analysis for elastic perfect plastic deformations”



[ 1] Miroslav BulÃcek, Jens Frehse
C^Î±regularity for a class of nondiagonal elliptic systems with pgrowth Calc. Var. Partial Differential Equations , 43: (34): 441462 2012 DOI: 10.1007/s0052601104178[ 2] J. Frehse, M. Steinhauer, W. Weigant
The Dirichlet problem for viscous compressible isothermal NavierStokes equations in two dimensions Arch. Ration. Mech. Anal. , 198: (1): 112 2010 DOI: 10.1007/s0020501003382[ 3] J. Frehse, M. Steinhauer, W. Weigant
The Dirichlet problem for steady viscous compressible flow in three dimensions J. Math. Pures Appl. (9) , 97: (2): 8597 2012 DOI: 10.1016/j.matpur.2009.06.005[ 4] J. Frehse, M. Steinhauer, W. Weigant
On stationary solutions for 2D viscous compressible isothermal NavierStokes equations J. Math. Fluid Mech. , 13: (1): 5563 2011 DOI: 10.1007/s0002100900052[ 5] Miroslav BulÃcek, Jens Frehse
On nonlinear elliptic Bellman systems for a class of stochastic differential games in arbitrary dimension Math. Models Methods Appl. Sci. , 21: (1): 215240 2011 DOI: 10.1142/S0218202511005027[ 6] Alain Bensoussan, Dominic Breit, Jens Frehse
Parabolic Bellmansystems with mean field dependence Appl. Math. Optim. , 73: (3): 419432 2016 DOI: 10.1007/s0024501693446[ 7] Lisa Beck, Miroslav BulÃcek, Jens Frehse
Old and new results in regularity theory for diagonal elliptic systems via blowup techniques J. Differential Equations , 259: (11): 65286572 2015 DOI: 10.1016/j.jde.2015.07.030[ 8] Alain Bensoussan, Jens Frehse, Christine GrÃ¼n
On a system of PDEs associated to a game with a varying number of players Commun. Math. Sci. , 13: (3): 623639 2015 DOI: 10.4310/CMS.2015.v13.n3.a2[ 9] Miroslav BulÃcek, Jens Frehse, Mark Steinhauer
On HÃ¶lder continuity of solutions for a class of nonlinear elliptic systems with pgrowth via weighted integral techniques Ann. Mat. Pura Appl. (4) , 194: (4): 10251069 2015 DOI: 10.1007/s102310140410x[ 10] Jens Frehse, Sebastian Schwarzacher
On regularity of the time derivative for degenerate parabolic systems SIAM J. Math. Anal. , 47: (5): 39173943 2015 DOI: 10.1137/141000725[ 11] Jens Frehse, Josef MÃ¡lek, Michael R\ocircuzicka
Large data existence result for unsteady flows of inhomogeneous shearthickening heatconducting incompressible fluids Comm. Partial Differential Equations , 35: (10): 18911919 2010 DOI: 10.1080/03605300903380746[ 12] Jens Frehse, Maria SpecoviusNeugebauer
Morrey estimates and HÃ¶lder continuity for solutions to parabolic equations with entropy inequalities J. Reine Angew. Math. , 638: : 169188 2010 DOI: 10.1515/CRELLE.2010.006




• Asymptotic Analysis
• Zeitschrift Angewandte Analysis
• Differential Equations and Nonlinear Mechanics


1992  FrenchGerman Humboldt Award 


1994  Paseky, Czech Republic  2004  2010  Prague, Czech Republic 


1980  Offer of a Chair in Mathematics, FU Berlin 


No habilitations in the last period.
Over 10 during my work at the university.


Liubov Khasina (2008): “Mathematische Behandlung von Mischungen elastoplastischer Substanzen”
Igor Huft (2008): “Einbettungen von logarithmischen MorreyRäumen”
Dominique Löbach (2010): “Regularity analysis for problems of elastoplasticity with hardening”
Thomas Buch


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