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math.AP2019
Generalizations of the Drift Laplace Equation over the Quaternions in a Class of Grushin-Type Spaces
Thomas Bieske, Keller Blackwell
Beals, Gaveau, and Greiner in 1996 establish a formula for the fundamental solution to the Laplace equation with drift term in Grushin-type planes. The first author and Childers in…
math.AP2019
Generalizations of the Drift Laplace Equation in the Heisenberg Group and a Class of Grushin-Type Spaces
Thomas Bieske, Keller Blackwell
We find fundamental solutions to p-Laplace equations with drift terms in the Heisenberg group and Grushin-type planes. These solutions are natural generalizations to the fundamenta…