We report the results of high-frequency acoustic shear impedance measurements on superfluid $^{3}\mathrm{He}$ confined in 98% porosity silica aerogel. Using $8.69\phantom{\rule{0.3em}{0ex}}\mathrm{MHz}$ continuous wave excitation, we measured the acoustic shear impedance as a function of temperature for the sample pressures of 28.4 and $33.5\phantom{\rule{0.3em}{0ex}}\text{bar}$. We observed the $A\text{\ensuremath{-}}B$ transition on warming in zero magnetic field. Our observations show that the $A$ and $B$ phases in aerogel coexist in a temperature range of about $100\phantom{\rule{0.3em}{0ex}}\ensuremath{\mu}\mathrm{K}$ in width. We propose that differences in the relative stability of the $A$ and $B$ phases arising from anisotropic scattering can account for our observations.
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