\begin{table}%t1 %\centering \par \caption {\label{tab_obs}Upper limits on the 511~keV flux in units of 10$^{-5}$~ph~cm$^{-2}$~s$^{-1}$, in three different energy bands and for various source sizes for SN1006 and Tycho. Also listed are the INTEGRAL/SPI exposure for each object in cm$^{2}$~s.} \begin{tabular}{ccccccc} \hline\hline \noalign{\smallskip} \celltspace {\it SNR} & SPI exposure & Sky model & 510--512~keV & 508.5--513.5~keV & 506--516~keV \cellbspace \\ \hline \celltspace Cassiopeia A & $\sim$$ 3 \times 10^{8}$ & point-source & 2.8 & 3.9 & 4.7 \cellbspace \\ \hline \celltspace Tycho & $\sim$$ 3 \times 10^{8}$ & point-source & 2.6 & 3.8 & 4.6 \cellbspace \\ \celltspace & & 3$^{\circ}$ Gaussian & & 5.4 & \cellbspace \\ \celltspace & & 6$^{\circ}$ Gaussian & & 7.5 & \cellbspace \\ \hline \celltspace Kepler & $\sim $$8 \times 10^{8}$ & point-source & 1.8 & 2.5 & 3.0 \cellbspace \\ \hline \celltspace SN1006 & $\sim $$3 \times 10^{8}$ & point-source & 2.8 & 4.0 & 4.8 \cellbspace \\ \celltspace & & 3$^{\circ}$ Gaussian & & 5.1 & \cellbspace \\ \celltspace & & 6$^{\circ}$ Gaussian & & 6.4 & \cellbspace \\ \celltspace & & 9$^{\circ}$ Gaussian & & 7.2 & \cellbspace \\ \celltspace & & 12$^{\circ}$ Gaussian & & 7.9 & \cellbspace \\ \celltspace & & 15$^{\circ}$ Gaussian & & 8.5 & \cellbspace \\ \hline \celltspace SN1987A & $\sim $$8 \times 10^{7}$ & point-source & 3.8 & 5.4 & 6.6 \cellbspace \\ \hline \celltspace G1.9+0.3 & $\sim$$ 9 \times 10^{8}$ & point-source & 1.8 & 2.6 & 3.1 \cellbspace \\ \hline \end{tabular} \end{table}