We present evidence for shock acceleration of cosmic rays to high ener
gies (similar to 10 TeV) in the supernova remnant IC 443. X-ray imagin
g spectroscopy with ASCA reveals two regions of particularly hard emis
sion: an unresolved source embedded in an extended emission region, an
d a ridge of emission coincident with the southeastern rim. Both featu
res are located on part of the radio shell where the shock wave is int
eracting with molecular gas, and together they account for a majority
of the emission at 7 keV. Though we would not have noticed it a priori
, the unresolved feature is coincident with one resolved by the ROSAT
HRI. Because this feature overlaps a unique region of hat radio spectr
al index (alpha < 0.24), has about equal light-crossing and synchrotro
n loss times, and a power-law spectrum with a spectral index of alpha
= 1.3 +/- 0.2, we conclude that the hard X-ray feature is synchrotron
radiation from a site of enhanced particle acceleration. Evidence agai
nst a plerion includes a lack of observed periodicity (the pulsed frac
tion upper limit is 33%), the spectral similarity with the more extend
ed hard region, the location of the source outside the 95% error circl
e of the nearby EGRET source, the fact that it is nestled in a bend in
the molecular cloud ring with which IC 443 is interacting, and the re
quirement of an extremely high transverse velocity (greater than or eq
ual to 5000 km s(-1)). We conclude that the anomalous feature is most
likely tracing enhanced particle acceleration by shocks that are forme
d as the supernova blast wave impacts the ring of molecular clouds.