Scott Rodney

Assistant Professor of Mathematics, Cape Breton University

Adjunct Professor of Mathematics, Dalhousie University

Contact Information:

ADDRESS:

• A-129-F
• Department Of Mathematics, Physics and Geology
• Cape Breton University
• 1250 Grand Lake Road
• Sydney NS B1P 6L2, Canada

E-MAIL:

• scott_rodney@cbu.ca
• scott.rodney@gmail.com

PHONE:

• 902-563-1358

Resume

Teaching:

Math 1206 - Differential & Integral Calculus II

Math 4205 - Introduction to PDE

Research Profile:

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.

Recent Work:

A Compact Embedding Theorem for Generalized Sobolev Spaces
- Scott Rodney, S-K Chua, R. L. Wheeden, TO APPEAR, Pacific Journal of Mathematics.

Existence of Weak Solutions of Linear Subelliptic Dirichlet Problems With Rough Coefficients
- Scott Rodney, Canadian Journal of Mathematics, 64, no. 2 (2012), pp. 1395-1414.

Boundedness of Weak Solutions of Degenerate Quasilinear Equations With Rough Coefficients
- Scott Rodney, Dario Monticelli and Richard Wheeden 2011, arXiv 2011, Differential and Integral Equations 25, no.1-2 (2011), pp.143-200..

A Degenerate Sobolev Inequality for a Large Open Set in a Homogeneous Space
- Scott Rodney, Rutgers University, Transactions of the American Mathematical Society 362 (2010), pp.673-685.

Existence of Weak Solutions to Subelliptic P.D.E.'s in Divergence Form and the Necessity of the Sobolev and Poincare Inequalities
- Scott Rodney, McMaster University PhD Thesis 2007

Links: