Boundedness and Regularity with Nonlinear Dependence of Hessian and Gradient

Authors

1 Department of Mathematics,Sharif University of Technology

2 Department of Mathematical Sciences,Sharif University of Technology

Abstract

Sucient conditions for the boundedness and regularity of a function, whose partial derivatives
satisfy a certain set of equations, are presented. Energy methods are used to establish these
results. The asymptotic behavior of the gradient toward a constant function is also investigated.

Keywords

Scientia Iranica
Volume 15, Issue 6 - Serial Number 6
Transactions on Computer Science & Engineering and Electrical Engineering (D)
December 2008

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