  We prove some existence results on parameterized strongly normal extensions
for logarithmic equations. We generalize a result in [Wibmer, Existence of
d-parameterized Picard-Vessiot extensions over fields with algebraically closed
constants, J. Algebra, 361, 2012]. We also consider an extension of the results
in [Kamensky and Pillay, Interpretations and differential Galois extensions,
Preprint 2014] from the ODE case to the parameterized PDE case.
