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We present the analysis of supernova remnants (SNRs) in the Large MagellanicCloud (LMC) and their influence on the environment at far-infrared (FIR) andsubmillimeter wavelengths. We use new observations obtained with the {\itHerschel} Space Observatory and archival data obtained with the {\it Spitzer}Space Telescope, to make the first FIR atlas of these objects. The SNRs are notclearly discernible at FIR wavelengths, however their influence becomesapparent in maps of dust mass and dust temperature, which we constructed byfitting a modified black-body to the observed spectral energy distribution ineach sightline. Most of the dust that is seen is pre-existing interstellar dustin which SNRs leave imprints. The temperature maps clearly reveal SNRs heatingsurrounding dust, while the mass maps indicate the removal of3.7$^{+7.5}_{-2.5}$ M$_{\odot}$ of dust per SNR. This agrees with thecalculations by others that significant amounts of dust are sputtered by SNRs.Under the assumption that dust is sputtered and not merely pushed away, weestimate a dust destruction rate in the LMC of $0.037^{+0.075}_{-0.025}$M$_\odot$ yr$^{-1}$ due to SNRs, yielding an average lifetime for interstellardust of $2^{+4.0}_{-1.3}\times10^7$ yr. We conclude that sputtering of dust bySNRs may be an important ingredient in models of galactic evolution, thatsupernovae may destroy more dust than they produce, and that they therefore maynot be net producers of long lived dust in galaxies.

The influence of supernova remnants on the interstellar medium in the Large Magellanic Cloud seen at 20--600 $\mu$m wavelengths