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Variational Methods in the Study of Imaging, \\
Micromagnetics and Thin Films\\

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Irene Fonseca\\
Department of Mathematical Sciences\\
Carnegie Mellon University\\
Pittsburgh, PA  15213\\
fonseca@andrew.cmu.edu\\
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\noindent {\bf Abstract}:  The variational formulation of problems issuing
from imaging, micromagnetics, membrane theories, foams, quantum dots and other
physical applications often involve energies of different dimensionality, from
bulk to interfacial terms, multiple scale, higher order derivatives, and
discontinuous underlying fields.  These present new challenges for the
Calculus of Variations as existing theories usually do not apply. 

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