Search the faculty site
For media inquiries or to contact a faculty expert, please contact Media Relations:
Phone: 212.854.2037
Email: mediarelations@barnard.edu
Sun Min
Director of Media Relations
Alyssa Vine
Associate Director of Media Relations
Daniela De Silva
Assistant Professor of Mathematics
Daniela De Silva, assistant professor of mathematics, joined the faculty of Barnard in 2007. Formerly, she was a member of the Mathematical Sciences Research Institute in Berkeley. Professor De Silva has also taught at John Hopkins, MIT, and the University of Naples "Federico II". At Barnard, her teaching duties include Partial Differential Equations.
Professor De Silva's primary research area is partial differential equations. She is particularly interested in the regularity theory for free boundary/phase transition problems and is also investigating well-posedness issues for certain nonlinear dispersive equations.
Selected Publications
"Rearrangements and Radial Graphs of Constant Mean Curvature in Hyperbolic Space" (with J. Spruck), Submitted
"A Singular Energy Minimizing Free Boundary" (with D. Jerison), J. Reine Angew. Math. (Crelle's Journal), Forthcoming
"Existence and Regularity of Monotone Solutions to a Free Boundary Problem," Amer. J. of Math., Forthcoming
"Bernstein-Type Techniques for 2D Free Boundary Graphs," Math.Z., Forthcoming
"Symmetry of Global Solutions to a Class of Fully Nonlinear Elliptic Equations in 2D" (with O. Savin), Indiana Math Journal, Forthcoming
"Global Well-Posedness and Polynomial Bounds for the Defocusing L2-Critical Nonlinear Schrödinger Equation in R" (with N. Pavlovic, G. Staffilani and N. Tzirakis), Comm. in PDEs, Forthcoming
"Low Regularity Solutions for a 2D Quadratic Non-Linear Schrödinger Equation" (with I. Bejenaru), Trans. of AMS, Forthcoming
"Global Well-Posedness for a Periodic Nonlinear Schrödinger Equation in 1D and 2D" (with N. Pavlovic, G. Staffilani and N. Tzirakis), Discrete Contin. Dyn. Syst. 19 (2007)
"Global Well-Posedness for the L2 Critical Nonlinear Schrödinger Equation in Higher Dimensions" (with N. Pavlovic, G. Staffilani and N. Tzirakis), Commun. Pure Appl. Anal. 6 (2007)
"Estimates for the Gradient of Solutions of Elliptic Equations in Orlicz-Sobolev Spaces," Ricerche di Matematica 51 (2002)
"Some Remarks on Nonlinear Elliptic Equations and Applications to Hamilton-Jacobi Equations" (with C. Trombetti), C.R. Acad. Sci. Paris, t. 333, Serie I, (2001)
212.854.5135
ddesilva@barnard.edu
desilva@math.columbia.edu
EDUCATION:
B.A., University of Naples Federico II
Ph.D., Massachusetts Institute of Technology
RELATED LINKS:
Complete CV (PDF)
SPECIALIZATIONS:
Partial differential equations
Harmonic analysis