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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