On diagonal elliptic and parabolic systems with super-quadratic Hamiltonians
Alain Bensoussan, Jens Frehse · Communications on Pure & Applied Analysis · 2008
We consider in this article a class of systems of second orderpartial differential equations with non-linearity in the firstorder derivative and zero order term which can besuper-quadratic. These problems are motivated by differentialgeometry and stochastic differential games. Up to now, in the caseof systems, only quadratic growth had been considered.