Sascha Michel and Heiko Girnth are studying the diffusion of innovations within dialects of German but are not basing their work on Rogers or Cooper.
Searches of Ebsco Academic Search also yielded no linguistic studies applying Rogers or Cooper's work.
According to Everett Rogers' fifth edition of his book Diffusion of Innovations in 2003, over 5000 books and articles has been written regarding the diffusion of innovations in a wide variety of disciplines. While diffusion of innovations studies began in the 40s and 50s it was only in the 60s that researchers began referencing works in other disciplines. Rogers discusses how the nature of social networks, the perceived attributes of the innovation and the varying tendencies of individuals impact the speed and degree of spread of innovations. Rogers also discusses how individuals or communities move through five steps in adopting an innovation: knowledge of the innovation, persuasion toward (or against it), decision to adopt (or reject), implementation of that decision, and confirmation (or alteration) of that decision.
I have applied the theory to the spread of literacy in a formerly preliterate community in: "The spread of literacy as diffusion of innovation" which was presented at the International Linguistics Association in 2004. And applied it to the spread of written standards in: "It is for us! The acceptance of written standards" which was presented at the Fourth Pan-African Reading for All conference in 2005.