On diagonal elliptic and parabolic systems withsuper-quadratic Hamiltonians
Alain BensoussanUniversity of Texas at Dallas School of Management International Center for Decision and Risk AnalysisJens FrehseUniversity of Bonn Institut fr Angewandte Mathematik
2008en
ABI
Abstract
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.
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