Faculty Directory: Atanas Stefanov

Faculty Directory


Atanas Stefanov

Research Interests

Partial Differential Equations
Mathematical Physics

Prof. Stefanov's research interests are in the broad area of analysis. After receiving his Ph.D. degree in classical harmonic analysis, he has mostly worked on the local and global behavior of the solutions to dispersive partial differential equations, like Schroedinger and wave equations. Recent interests include the existence and stability of solitons arising in the PDE's of mathematical physics.

Selected Publications

  • Linear stability analysis for traveling waves of second order in time PDE's (with M. Stanislavova), Nonlinearity no. 25, (2012) p. 2625-2654.
  • On the existence of solitary traveling waves for generalized Hertzian chains (with P. Kevrekidis), Journal of Nonlinear Science no. 3 (2012), p. 327-349.
  • On precise center stable manifold theorems for certain reaction-diffusion and Klein-Gordon equations (with M. Stanislavova), Phys. D 238 (2009), no. 23-24, p. 2298-2307.
  • Strichartz estimates for the magnetic Schroedinger equation, Advances in Math. (210) (2007), p. 246-303.
  • Asymptotic behaviour of small solutions for the discrete nonlinear Schr√∂dinger and Klein-Gordon equation (with P. Kevrekidis), Nonlinearity 18 (2005), no. 4, 184-1857.
  • $L^p$ bounds for singular integrals and maximal singular integrals with rough kernels (with L. Grafakos), Indiana Univ. Math. J. 47 (1998), no. 2, 455-469.

Recognition Ceremony Honors Employees’ Service

Congratulations to our faculty and staff who will be recognized at the 2017 Employee Recognition Ceremony for their years of service to KU.

Joseph Huber 10 years
Zsolt Talata 10 years
George Kangas 15 years
Milena Stanislavova 15 years
Atanas Stefanov 15 years
Erik Van Vleck 15 years
Yaozhoung Hu 20 years
Kerrie Brecheisen 30 years
Jeff Lang 30 years