Alexander A. Kiselev
- William T. Laprade Distinguished Professor of Mathematics
- Professor of Mathematics
Research Areas and Keywords
Fourier analysis, functional analysis
Chemotaxis, enhancement of biological reactions
Spectral theory, Schrodinger operators
PDE & Dynamical Systems
Fluid mechanics, Euler equation, surface quasi-geostrophic equation, singularity formation, small scale creation, mixing efficiency
My current research interests focus on mathematical fluid mechanics and mathematical biology.
In the past, I have also worked on reaction-diffusion equations and spectral theory of Schredinger operators.
Christ, M., and A. Kiselev. “WKB and spectral analysis of one-dimensional Schrödinger operators with slowly varying potentials.” Communications in Mathematical Physics, vol. 218, no. 2, Jan. 2001, pp. 245–62. Scopus, doi:10.1007/PL00005556. Full Text
Kiselev, A. “Absolutely continuous spectrum of perturbed stark operators.” Transactions of the American Mathematical Society, vol. 352, no. 1, Dec. 2000, pp. 243–56.
Kiselev, A., and Y. Last. “Solutions, spectrum, and dynamics for schrödinger operators on infinite domains.” Duke Mathematical Journal, vol. 102, no. 1, Jan. 2000, pp. 125–50. Scopus, doi:10.1215/S0012-7094-00-10215-3. Full Text
Constantin, P., et al. “Bulk burning rate in passive-reactive diffusion.” Archive for Rational Mechanics and Analysis, vol. 154, no. 1, Jan. 2000, pp. 53–91. Scopus, doi:10.1007/s002050000090. Full Text
Kiselev, A. “An interpolation theorem related to the A.E. convergence of integral operators.” Proceedings of the American Mathematical Society, vol. 127, no. 6, Dec. 1999, pp. 1781–85.
Kiselev, A., et al. “Effective perturbation methods for one-dimensional Schrödinger operators.” Journal of Differential Equations, vol. 151, no. 2, Jan. 1999, pp. 290–312. Scopus, doi:10.1006/jdeq.1998.3514. Full Text
Christ, M., and A. Kiselev. “Absolutely continuous spectrum for one-dimensional Schrödinger operators with slowly decaying potentials: Some optimal results.” Journal of the American Mathematical Society, vol. 11, no. 4, Oct. 1998, pp. 771–97.
Kiselev, A. “Stability of the absolutely continuous spectrum of the Schrödinger equation under slowly decaying perturbations and A.E. convergence of integral operators.” Duke Mathematical Journal, vol. 94, no. 3, Jan. 1998, pp. 619–46. Scopus, doi:10.1215/S0012-7094-98-09425-X. Full Text
Kiselev, A., et al. “Modified prüfer and EFGP transforms and the spectral analysis of one dimensional schrödinger operators.” Communications in Mathematical Physics, vol. 194, no. 1, Jan. 1998. Scopus, doi:10.1007/s002200050346. Full Text
Kiselev, A. “Some examples in one-dimensional "geometric" scattering on manifolds.” Journal of Mathematical Analysis and Applications, vol. 212, no. 1, Aug. 1997, pp. 263–80. Scopus, doi:10.1006/jmaa.1997.5497. Full Text