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Boundedness and regularity with nonlinear dependence of Hessian and gradient

Mehri, B ; Sharif University of Technology | 2008

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  1. Type of Document: Article
  2. Publisher: Sharif University of Technology , 2008
  3. Abstract:
  4. 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. © Sharif University of Technology
  5. Keywords:
  6. Engineering ; Gradient methods ; Natural sciences ; Asymptotic behaviors ; Boundedness ; Hessian ; Nonlinear ODE ; Regularity ; Asymptotic analysis ; Boundary condition ; Constant ; Constitutive equation ; Gradient analysis ; Nonlinearity
  7. Source: Scientia Iranica ; Volume 15, Issue 6 , 2008 , Pages 553-557 ; 10263098 (ISSN)
  8. URL: https://www.sid.ir/en/journal/ViewPaper.aspx?id=187658