# American Institute of Mathematical Sciences

January  2009, 8(1): 83-94. doi: 10.3934/cpaa.2009.8.83

## On diagonal elliptic and parabolic systems with super-quadratic Hamiltonians

 1 University of Texas at Dallas, School of Management, International Center for Decision and Risk Analysis, United States 2 University of Bonn, Institut fur Angewandte Mathematik, Germany

Received  March 2008 Revised  August 2008 Published  October 2008

We consider in this article a class of systems of second order partial differential equations with non-linearity in the first order derivative and zero order term which can be super-quadratic. These problems are motivated by differential geometry and stochastic differential games. Up to now, in the case of systems, only quadratic growth had been considered.
Citation: Alain Bensoussan, Jens Frehse. On diagonal elliptic and parabolic systems with super-quadratic Hamiltonians. Communications on Pure & Applied Analysis, 2009, 8 (1) : 83-94. doi: 10.3934/cpaa.2009.8.83
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