# Faculty Directory: Atanas Stefanov

# Faculty Directory

## Atanas Stefanov

- Professor
- Office: 514 Snow Hall
- Phone: (785) 864-3009
- Fax: (785) 864-5255
- E-Mail: stefanov@ku.edu
- Web-page

## Research Interests

Partial Differential EquationsMathematical 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 Schrödinger 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.