Title of article :
Boundedness and Regularity with Nonlinear Dependence of Hessian and Gradient
Author/Authors :
MEHRI, B. sharif university of technology - Department of Mathematical Sciences, تهران, ايران , NOJUMI, M. H. sharif university of technology - Department of Mathematical Sciences, تهران, ايران
Abstract :
Sufficient 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 :
Boundedness , Regularity , Asymptotic behavior , Nonlinear ODE , Hessian , Gradient
Journal title :
Scientia Iranica(Transactions B:Mechanical Engineering)
Journal title :
Scientia Iranica(Transactions B:Mechanical Engineering)
