I am intersted in the area of subelliptic PDE. This includes existence theory and regularity theory for weak solutions.
I am currently working on properties of degenerate Sobolev spaces. This includes compact embedding theorems, product and chain rules and trace theorems.
- Scott Rodney, S-K Chua, R. L. Wheeden, Pacific Journal of Mathematics, 265, no. 1 (2013), pp. 17-59. Artilce in full available here with an older free version here.
- Scott Rodney, Canadian Journal of Mathematics, 64, no. 6 (2012), pp. 1395-1414.
- Scott Rodney, Dario Monticelli and Richard Wheeden 2011, arXiv 2011, Differential and Integral Equations 25, no.1-2 (2011), pp.143-200..
- Scott Rodney, Rutgers University, Transactions of the American Mathematical Society 362 (2010), pp.673-685.
- Scott Rodney, McMaster University PhD Thesis 2007