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Publication 05-CNA-03

From Jacobian to Hessian: Distributional Form and Relaxation

Irene Fonseca
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
fonseca@andrew.cmu.edu

and

Jan Malý
Department of Mathematical Analysis
Faculty of Matematics and Physics
Charles University
Sokolovská 83,186 75 Praha 8
Czech Republic
maly@karlin.mff.cuni.cz

Abstract: A weak formulation of the determinant of the matrix of second order derivatives is introduced and several of its propeties are explored in analogy with the theory developed for the weak Jacobian.

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