Lev Kapitanski

Professor

  • 449 Citations
19952020

Research output per year

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Research Output

  • 449 Citations
  • 18 Article
  • 1 Chapter
  • 1 Conference contribution
  • 1 Comment/debate
1995

Minimal Compact Global Attractor for a Damped Semilinear Wave Equation

Kapitanski, L., Jan 1 1995, In : Communications in Partial Differential Equations. 20, 7-8, p. 1303-1323 21 p.

Research output: Contribution to journalArticle

19 Scopus citations
1996

Dispersive smoothing for Schrödinger equations

Kapitanski, L. & Safarov, Y., Jan 1 1996, In : Mathematical Research Letters. 3, 1, p. 77-91 15 p.

Research output: Contribution to journalArticle

Open Access
21 Scopus citations

Regulated Smoothing for Schrödinger Evolution

Kapitanski, L. & Rodnianski, I., Dec 1 1996, In : International Mathematics Research Notices. 2, p. X-53

Research output: Contribution to journalArticle

10 Scopus citations
2000

Control of nonlinear underactuated systems

Auckly, D., Kapitanski, L. & White, W., Mar 2000, In : Communications on Pure and Applied Mathematics. 53, 3, p. 354-369 16 p.

Research output: Contribution to journalArticle

105 Scopus citations

Matching and digital control implementation for underactuated systems

Andreev, F., Auckly, D., Kapitanski, L., Kelkar, A. G. & White, W. N., Dec 1 2000, In : Proceedings of the American Control Conference. 6, p. 3934-3938 5 p., 876960.

Research output: Contribution to journalArticle

7 Scopus citations

Shape and Morse theory of attractors

Kapitanski, L. & Rodnianski, I., Feb 2000, In : Communications on Pure and Applied Mathematics. 53, 2, p. 218-242 25 p.

Research output: Contribution to journalArticle

44 Scopus citations
2002

Matching, linear systems, and the ball and beam

Andreev, F., Auckly, D., Gosavi, S., Kapitanski, L., Kelkar, A. & White, W., Dec 1 2002, In : Automatica. 38, 12, p. 2147-2152 6 p.

Research output: Contribution to journalArticle

38 Scopus citations
2003

Holonomy and Skyrme's Model

Auckly, D. & Kapitanski, L., Sep 1 2003, In : Communications in Mathematical Physics. 240, 1-2, p. 97-122 26 p.

Research output: Contribution to journalArticle

13 Scopus citations

On the λ-equations for matching control laws

Auckly, D. & Kapitanski, L., Oct 13 2003, In : SIAM Journal on Control and Optimization. 41, 5, p. 1372-1388 17 p.

Research output: Contribution to journalArticle

57 Scopus citations
2005

Analysis of S 2-valued maps and Faddeev's model

Auckly, D. & Kapitanski, L., Jun 1 2005, In : Communications in Mathematical Physics. 256, 3, p. 611-620 10 p.

Research output: Contribution to journalArticle

18 Scopus citations
2007

Geometry and analysis in nonlinear sigma models

Auckly, D., Kapitanski, L. & Speight, J. M., Jan 1 2007, In : St. Petersburg Mathematical Journal. 18, 1, 1 p.

Research output: Contribution to journalArticle

4 Scopus citations
2009

Dynamics with choice

Kapitanski, L. & Živanović, S., Jan 1 2009, In : Nonlinearity. 22, 1, p. 163-186 24 p.

Research output: Contribution to journalArticle

5 Scopus citations

The effects of human movement on the persistence of vector-borne diseases

Cosner, C., Beier, J. C., Cantrell, R. S., Impoinvil, D., Kapitanski, L., Potts, M. D., Troyo, A. & Ruan, S., Jun 21 2009, In : Journal of theoretical biology. 258, 4, p. 550-560 11 p.

Research output: Contribution to journalArticle

100 Scopus citations
2010

The pontrjaginhopf invariants for sobolev maps

Auckly, D. & Kapitanski, L., Feb 1 2010, In : Communications in Contemporary Mathematics. 12, 1, p. 121-181 61 p.

Research output: Contribution to journalArticle

4 Scopus citations
2011

Dynamics with a range of choice

Kapitanski, L. & Živanović, S., Jul 1 2011, In : Reliable Computing. 15, 4, p. 290-299 10 p.

Research output: Contribution to journalArticle

3 Scopus citations
2014

Attractors in hyperspace

Kapitanski, L. & Gonzalez, S. Ž., Sep 1 2014, In : Topological Methods in Nonlinear Analysis. 44, 1, p. 199-227 29 p.

Research output: Contribution to journalArticle

Variable Time Step Dynamics with Choice

Kapitanski, L. & Živanović Gonzalez, S., Nov 4 2014, In : Journal of Dynamics and Differential Equations. 26, 3, p. 745-779 35 p.

Research output: Contribution to journalArticle

2016

Continuous limit in dynamics with choice

Kapitanski, L. & Živanović Gonzalez, S., 2016, Difference Equations, Discrete Dynamical Systems and Applications - ICDEA 2012. Springer New York LLC, Vol. 180. p. 267-296 30 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

On continuous and discrete Hardy inequalities

Kapitanski, L. & Laptev, A., 2016, In : Journal of Spectral Theory. 6, 4, p. 837-858 22 p.

Research output: Contribution to journalArticle

1 Scopus citations
2020

Measurable Process Selection Theorem and Non-autonomous Inclusions

Cardona, J. E. & Kapitanski, L., Jan 1 2020, Studies in Computational Intelligence. Springer, p. 413-428 16 p. (Studies in Computational Intelligence; vol. 835).

Research output: Chapter in Book/Report/Conference proceedingChapter

The ties that bind olga alexandrovna ladyzhenskaya and the 2022 ICM in st. Petersburg

Dumbaugh, D., Daskalopoulos, P., Vershik, A., Kapitanski, L., Reshetikhin, N., Apushkinskaya, D. & Nazarov, A., Mar 2020, In : Notices of the American Mathematical Society. 67, 3, p. 373-381 9 p.

Research output: Contribution to journalComment/debate

Open Access