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Minkowski's Inequality for Convex Curves
(University of Texas at Arlington, 2001-05)
**Please note that the full text is embargoed** ABSTRACT: Minkowski's inequality is a relation between mixed areas of two curves and their respective areas. The concept of mixed area is defined. A variational technique is ...
Nonexistence of Spatially Localized Free Vibrations for a Class of Nonlinear Wave Equations
(University of Texas at Arlington, 1985)
**Please note that the full text is embargoed** ABSTRACT: We prove the nonexistence of free vibrations of arbitrary period with polynomially decreasing profiles for a large class of nonlinear wave equations in one space ...