Der-Chen Chang
Title
Prof / Special Asst to Provost, China Initiatives
Department
Department of Mathematics and Statistics
Publications
Publications
Books
- O. Calin, D.C. Chang, K. Furutani and C. Iwasaki. Heat Kernels for Elliptic and Sub-elliptic Operators: Methods and Techniques. Boston, Massachusetts: Birkhäuser-Verlag, 2010.
- Ovidiu Calin and Der-Chen Chang. Sub-Riemannian Geometry: General Theory and Examples. Cambridge, United Kingdom: Cambridge University Press, 2009.
- O. Calin, D. Chang, and P. Greiner. Geometric Analysis on the Heisenberg Group and Its Generalizations. Cambridge, MA: American Mathematics Society and International Press, 2007.
- O. Calin and D. Chang. Geometric Mechanics on Riemannian Manifolds and Its Applications to Partial Differential Equations. Boston, MA: Birkhauser-Verlag, 2005.
- C. Berenstein, D. Chang, and J. Tie. Laguerre Calculus on the Heisenberg Group. Cambridge, MA: American Mathematics Society and International Press, 2001.
Articles in journals
- O. Calin, D. Chang, and I. Markina. "Geometric analysis on $H$-type groups related to division algebras." Mathematische Nachrichten (2009).
- Ovidiu Calin and Der-Chen Chang. "The heat kernel for gravitational potential operators in one and two variables." Pure and Applied Mathematics Quarterly (2009).
- O.Calin, D.C. Chang and I. Markina. "SubRiemannian geometry on the sphere S³." Canadian J. Math 61.4 (2009): 821-839.
- D.C. Chang, I. Markina and A. Vasiliev. "Sub-Riemannian geodesics on the 3-D Sphere." Complex Analysis and Operator Theory 3.2 (2009): 361-377.
- D.C. Chang, S.C. Chang and J. Tie. "Laguerre Calculus and Paneitz Operator on the Heisenberg Group." Science in China, Series A 52.12 (2009): 2549-2569.
- D.C. Chang and S.K. Yeung. "Subelliptic Zeta Function on the unit Sphere in C^{n+1} and Isospectral Problem." Science in China, Series A 52.12 (2009): 2570-2589.
- D.C. Chang, T.H Chang and J.S. Hu. "Geometric Mechanics on Product Heisenberg Groups." Applicable Analysis 88.2 (2009): 243-283.
- O. Calin, D.C. Chang and H. Fan. "The heat kernel for Kolmogorov type operators and its Applications." Journal of Fourier Analysis and Its Applications 15.6 (2009): 816-838.
- D.C. Chang, G. Dafni and Y. Hong. "A div-curl lemma for local BMO." Proceedings of AMS 137 (2009): 3369-3377.
- D. Chang and I. Markina. "Quaternion $H$-type group and differential operator." Science in China, Series A: Mathematics 51.4 (2008): 523-540.
- D. Chang, I. Markina, and A. Vasilev. "Sub-Lorentzian Geometry on Anti-De Sitter Space." Journal de Mathematics Pures at Appliques 90 (2008): 82-110.
- D. Chang and Ming-Yi Lee . "Generalized Calder\’on-Zygmund operators on homogeneous groups and applications." Applicable Analysis 87.5 (2008): 531-554.
- O. Calin and D. Chang. "SubRiemannian geometry, a variational approach." Journal of Differential Geometry 80.1 (2008): 23-43.
- D. Chang and W. Eby. "Pompeiu problem for sets of higher codimension, in Euclidean and Heisenberg settings." Taiwanese Journal of Mathematics (2008).
- D. Chang, S. Li and S. Stevic. "On some integral operators on the unit polydisk and the unit." Taiwanese Journal Mathematics 11.5 (2007): 1251-1285.
Articles in books
- O. Calin, D. Chang, and I. Markina. "Generalized Hamilton-Jacobi equation and heat kernel on step two nilpotent Lie groups." Analysis and Mathematical Physics. Ed. A. Vasilev. : Birkhauser, 2009.
- D.C. Chang and Stephen S.T. Yau. "Geometric analysis on a family of pseudoconvex hypersurfaces." Recent Advances in Geometric Analysis. Ed. C.S. Lin and I.E Lee. Beijing-Boston: Higher Education Press and International Press, 2009: 61-99
- Der-Chen Chang and P. Greiner. "Subelliptic PDEs and subRiemannian geometry." AMS/IP Studies in Advanced Mathematics. Ed. S.T. Yau and Z. Xin. : International Press, 2008: 223-237