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Comech, Andrew

Total publications: 26 (26)
in MathSciNet: 26 (26)
in zbMATH: 17 (17)
in Web of Science: 1 (1)
in Scopus: 18 (18)
Cited articles: 17
Citations: 243
Presentations: 3

Number of views:
This page:362
Abstract pages:316
Full texts:53
References:56
E-mail:
Website: http://www.math.tamu.edu/~comech/

https://www.mathnet.ru/eng/person50584
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/620358

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)
1. A. Comech, “On global attraction to solitary waves, Klein-Gordon equation with mean field interaction at several points”, J. Differential Equations, 252:10 (2012), 5390–5413  crossref  mathscinet  zmath  adsnasa  elib  scopus 7
2. G. Berkolaiko and A. Comech, “On spectral stability of solitary waves of nonlinear Dirac equation in 1D”, Math. Model. Nat. Phenom., 7:2 (2012), 13–31  crossref  mathscinet  zmath  elib  scopus 29
3. A. Comech and A. Komech, “Well-posedness and the energy and charge conservation for nonlinear wave equations in discrete space-time”, Russ. J. Math. Phys., 18:4 (2011), 410–419  crossref  mathscinet  zmath  elib  scopus 2
4. A. Comech and A. Komech, “On global attraction to quantum stationary states. Dirac equation with mean field interaction”, Commun. Math. Anal., 2011, no. 3, 131–136  mathscinet
5. A. Comech and A. Komech, “Global attraction to solitary waves for a nonlinear Dirac equation with mean field interaction”, SIAM J. Math. Anal., 42:6 (2010), 2944–2964  crossref  mathscinet  scopus 26
6. A. Comech and A. Komech, “On global attraction to solitary waves for the Klein-Gordon field coupled to several nonlinear oscillators”, J. Math. Pures Appl., 93:1 (2010), 91–111  crossref  mathscinet  adsnasa  scopus 18
7. A. Comech and A. Komech, Principles of partial differential equations, Problem Books in Mathematics, Springer, New York, 2009 , x+161 pp.  crossref  mathscinet 3
8. A. Comech and A. Komech, “Global attraction to solitary waves for Klein-Gordon equation with mean field interaction”, Ann. Inst. H. Poincaré Anal. Non Linéaire, 26:3 (2009), 855–868  crossref  mathscinet  adsnasa  scopus 21
9. Alexander I. Komech, Andrew A. Komech, “Global Attraction to Solitary Waves in Models Based on the Klein–Gordon Equation”, SIGMA, 4 (2008), 10–23  mathnet  crossref  mathscinet  zmath  isi  scopus 6
10. A. Comech and A. Komech, “Global well-posedness for the Schrödinger equation coupled to a nonlinear oscillator”, Russ. J. Math. Phys., 14:2 (2007), 164–173  crossref  mathscinet  scopus 7
11. A. Comech, S. Cuccagna, D.E. Pelinovsky, “Nonlinear instability of a critical traveling wave in the generalized Korteweg-de Vries equation”, SIAM J. Math. Anal., 39:1 (2007), 1–33  crossref  mathscinet  zmath  scopus 9
12. A. Comech and A. Komech, “Global attractor for a nonlinear oscillator coupled to the Klein-Gordon field”, Arch. Ration. Mech. Anal., 185:1 (2007), 105–142  crossref  mathscinet  scopus 27
13. A. Comech and A. Komech, “On the global attraction to solitary waves for the Klein-Gordon equation coupled to a nonlinear oscillator”, C. R. Math. Acad. Sci. Paris, 343:2 (2006), 111–114  crossref  mathscinet  scopus 14
14. A. Comech and S. Roudenko, “Estimates on level set integral operators in dimension two”, J. Geom. Anal., 15:3 (2005), 405–423  crossref  mathscinet  zmath  scopus
15. A. Comech and J. Cuevas and P.G. Kevrekidis, “Discrete peakons”, Phys. D, 207:3-4 (2005), 137–160  crossref  mathscinet  zmath  elib  scopus 6
16. A. Comech, “$L^p\to L^q$ regularity of Fourier integral operators with caustics”, Trans. Amer. Math. Soc., 356:9 (2004), 3429–3454 (electronic)  crossref  mathscinet  zmath  scopus
17. A. Comech, D. Pelinovsky, “Purely nonlinear instability of standing waves with minimal energy”, Comm. Pure Appl. Math., 56:11 (2003), 1565–1607  crossref  mathscinet  zmath  scopus 53
18. A. Comech, “Type conditions and $L^p$-$L^p$, $L^p$-$L^p{\prime}$ regularity of Fourier integral operators”, Harmonic analysis at Mount Holyoke (South Hadley, MA, 2001), Contemp. Math., 320, Amer. Math. Soc., Providence, RI, 2003, 91–109  crossref  mathscinet  zmath
19. A. Comech, S. Cuccagna, “On $L^p$ continuity of singular Fourier integral operators”, Trans. Amer. Math. Soc., 355:6 (2003), 2453–2476 (electronic)  crossref  mathscinet  zmath  scopus 1
20. A. Comech, S. Cuccagna, “Integral operators with two-sided cusp singularities”, Internat. Math. Res. Notices, 2000, no. 23, 1225–1242  crossref  mathscinet  zmath 5
21. A. Comech, “Optimal regularity of {F}ourier integral operators with one-sided folds”, Comm. Partial Differential Equations, 24:7-8 (1999), 1263–1281  crossref  mathscinet  zmath  scopus 9
22. A. Comech, “Damping estimates for oscillatory integral operators with finite type singularities”, Asymptot. Anal., 18:3–4 (1998), 263–278  mathscinet  zmath
23. A. Comech, “Sobolev estimates for the Radon transform of Melrose and Taylor”, Comm. Pure Appl. Math., 51:5 (1998), 537–550  crossref  mathscinet  zmath
24. A. Comech, Asymptotic estimates for oscillatory integral operators, AAT 9728177, ProQuest LLC, Ann Arbor, MI, 1997 , 98 pp.  mathscinet
25. A. Comech, “Integral operators with singular canonical relations”, Spectral theory, microlocal analysis, singular manifolds, Math. Top., 14, Akademie Verlag, Berlin, 1997, 200–248  mathscinet  zmath
26. A. Comech, “Oscillatory integral operators in scattering theory”, Comm. Partial Differential Equations, 22:5–6 (1997), 841–867  crossref  mathscinet  zmath  scopus

Presentations in Math-Net.Ru
1. Derivation of optimal LAP estimates for perturbed 2D Laplacian via rank 1 perturbations and properties of virtual states.
A. Comech
V. I. Smirnov Seminar on Mathematical Physics
February 19, 2024 16:30   
2. On bifurcation of the eigenvalues ​​of continuous spectrum
A. Comech
Dobrushin Mathematics Laboratory Seminar
May 29, 2012 16:00
3. Spectral stability of solitary waves in nonlinear Dirac equation
A. Comech
Dobrushin Mathematics Laboratory Seminar
September 27, 2011 16:00

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