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Kiselev, Alexander A.

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Author ID: kiselev.alexander-a Recent zbMATH articles by "Kiselev, Alexander A."
Published as: Kiselev, Alexander; Kiselev, A.; Kiselev, A. A.; Kiselev, Alexander A.
Homepage: https://scholars.duke.edu/person/alexander.kiselev
External Links: MGP · Wikidata
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Serials

5 Nonlinearity
4 Archive for Rational Mechanics and Analysis
4 Communications in Mathematical Physics
4 Communications on Pure and Applied Mathematics
4 Duke Mathematical Journal
4 Journal of Functional Analysis
3 Journal of Differential Equations
3 Annals of Mathematics. Second Series
2 Theoretical and Mathematical Physics
2 Advances in Mathematics
2 Mathematische Nachrichten
2 Journal of the American Mathematical Society
2 Geometric and Functional Analysis. GAFA
2 Communications in Partial Differential Equations
2 SIAM Journal on Mathematical Analysis
2 Journal of Nonlinear Science
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
1 Mathematical Notes
1 Arkiv för Matematik
1 Bulletin of Mathematical Biology
1 American Journal of Mathematics
1 Annales de l’Institut Fourier
1 Indiana University Mathematics Journal
1 Inventiones Mathematicae
1 Proceedings of the American Mathematical Society
1 Transactions of the American Mathematical Society
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 IMRN. International Mathematics Research Notices
1 Vestsi Akadèmii Navuk Belarusi. Seryya Fizika-Matèmatychnykh Navuk
1 Doklady Akademii Nauk
1 Journal of Mathematical Sciences (New York)
1 Mathematical Research Letters
1 Combustion Theory and Modelling
1 Communications in Mathematical Sciences
1 Dynamics of Partial Differential Equations
1 Lecture Notes in Mathematics
1 Izvestiya. Atmospheric and Oceanic Physics
1 Mathematical Modelling of Natural Phenomena
1 Involve
1 Analysis & PDE
1 Research in the Mathematical Sciences
1 Nanosystems. Physics, Chemistry, Mathematics
1 Annals of PDE

Publications by Year

Citations contained in zbMATH Open

71 Publications have been cited 1,929 times in 1,212 Documents Cited by Year
Global well-posedness for the critical 2D dissipative quasi-geostrophic equation. Zbl 1121.35115
Kiselev, A.; Nazarov, F.; Volberg, A.
248
2007
Maximal functions associated to filtrations. Zbl 0974.47025
Christ, Michael; Kiselev, Alexander
157
2001
Diffusion and mixing in fluid flow. Zbl 1180.35084
Constantin, Peter; Kiselev, Alexander; Ryzhik, Lenya; Zlatoš, Andrej
91
2008
Modified Prüfer and EFGP transforms and the spectral analysis of one-dimensional Schrödinger operators. Zbl 0912.34074
Kiselev, Alexander; Last, Yoram; Simon, Barry
79
1998
Blow up and regularity for fractal Burgers equation. Zbl 1186.35020
Kiselev, Alexander; Nazarov, Fedor; Shterenberg, Roman
78
2008
Small scale creation for solutions of the incompressible two-dimensional Euler equation. Zbl 1304.35521
Kiselev, Alexander; Šverák, Vladimir
74
2014
Biomixing by chemotaxis and enhancement of biological reactions. Zbl 1236.35190
Kiselev, Alexander; Ryzhik, Lenya
71
2012
Variation on a theme of Caffarelli and Vasseur. Zbl 1288.35393
Kiselev, A.; Nazarov, F.
59
2010
Bulk burning rate in passive-reactive diffusion. Zbl 0979.76093
Constantin, Peter; Kiselev, Alexander; Oberman, Adam; Ryzhik, Leonid
51
2000
Regularity and blow up for active scalars. Zbl 1194.35490
Kiselev, A.
46
2010
Suppression of chemotactic explosion by mixing. Zbl 1351.35233
Kiselev, Alexander; Xu, Xiaoqian
46
2016
Biomixing by chemotaxis and efficiency of biological reactions: the critical reaction case. Zbl 1300.92015
Kiselev, Alexander; Ryzhik, Lenya
43
2012
Enhancement of the traveling front speeds in reaction-diffusion equations with advection. Zbl 1002.35069
Kiselev, Alexander; Ryzhik, Leonid
41
2001
Finite time singularity for the modified SQG patch equation. Zbl 1360.35159
Kiselev, Alexander; Ryzhik, Lenya; Yao, Yao; Zlatoš, Andrej
40
2016
Nonlocal maximum principles for active scalars. Zbl 1244.35022
Kiselev, Alexander
36
2011
Transfer matrices and transport for Schrödinger operators. Zbl 1074.81019
Germinet, François; Kiselev, Alexander; Tcheremchantsev, Serguei
33
2004
Global regularity for the fractional Euler alignment system. Zbl 1390.35370
Do, Tam; Kiselev, Alexander; Ryzhik, Lenya; Tan, Changhui
33
2018
Uniqueness results for matrix-valued Schrödinger, Jacobi, and Dirac-type operators. Zbl 1017.34020
Gesztesy, Fritz; Kiselev, Alexander; Makarov, Konstantin A.
32
2002
Absolutely continuous spectrum for one-dimensional Schrödinger operators with slowly decaying potentials: Some optimal results. Zbl 0899.34051
Christ, Michael; Kiselev, Alexander
32
1998
On the finite-time blowup of a one-dimensional model for the three-dimensional axisymmetric Euler equations. Zbl 1377.35218
Choi, Kyudong; Hou, Thomas Y.; Kiselev, Alexander; Luo, Guo; Sverak, Vladimir; Yao, Yao
32
2017
Lower bounds on the mix norm of passive scalars advected by incompressible enstrophy-constrained flows. Zbl 1293.35248
Iyer, Gautam; Kiselev, Alexander; Xu, Xiaoqian
32
2014
Dynamical upper bounds on wavepacket spreading. Zbl 1053.81020
Killip, Rowan; Kiselev, Alexander; Last, Yoram
30
2003
Finite time blow up for a 1D model of 2D Boussinesq system. Zbl 1309.35072
Choi, Kyudong; Kiselev, Alexander; Yao, Yao
30
2015
Absolutely continuous spectra of one-dimensional Schrödinger operators and Jacobi matrices with slowly decreasing potentials. Zbl 0858.34071
Kiselev, A.
28
1996
Quenching and propagation in KPP reaction-diffusion equations with a heat loss. Zbl 1087.35051
Berestycki, Henri; Hamel, Francois; Kiselev, Alexander; Ryzhik, Lenya
26
2005
Global well-posedness of slightly supercritical active scalar equations. Zbl 1294.35092
Dabkowski, Michael; Kiselev, Alexander; Silvestre, Luis; Vicol, Vlad
26
2014
Rank one perturbations with infinitesimal coupling. Zbl 0823.47015
Kiselev, Alexander A.; Simon, Barry
25
1995
Global regularity for the critical dispersive dissipative surface quasi-geostrophic equation. Zbl 1185.35190
Kiselev, Alexander; Nazarov, Fedor
23
2010
Quenching of flames by fluid advection. Zbl 1032.35087
Constantin, Peter; Kiselev, Alexander; Ryzhik, Leonid
19
2001
WKB asymptotic behavior of almost all generalized eigenfunctions for one-dimensional Schrödinger operators with slowly decaying potentials. Zbl 0985.34078
Christ, Michael; Kiselev, Alexander
19
2001
Solutions, spectrum, and dynamics for Schrödinger operators on infinite domains. Zbl 0951.35033
Kiselev, A.; Last, Y.
17
2000
Quenching of reaction by cellular flows. Zbl 1097.35077
Fannjiang, A.; Kiselev, A.; Ryzhik, L.
17
2006
On discrete models of the Euler equation. Zbl 1109.35083
Kiselev, Alexander; Zlatoš, Andrej
17
2005
WKB and spectral analysis of one-dimensional Schrödinger operators with slowly varying potentials. Zbl 0992.34065
Christ, Michael; Kiselev, Alexander
17
2001
Scattering and wave operators for one-dimensional Schrödinger operators with slowly decaying nonsmooth potentials. Zbl 1039.34076
Christ, M.; Kiselev, A.
16
2002
Spectral properties of Schrödinger operators with decaying potentials. Zbl 1132.35352
Denisov, Sergey A.; Kiselev, Alexander
16
2007
Global well-posedness for a slightly supercritical surface quasi-geostrophic equation. Zbl 1239.35121
Dabkowski, Michael; Kiselev, Alexander; Vicol, Vlad
16
2012
Flame enhancement and quenching in fluid flows. Zbl 1068.76570
Vladimirova, Natalia; Constantin, Peter; Kiselev, Alexander; Ruchayskiy, Oleg; Ryzhik, Leonid
15
2003
Local regularity for the modified SQG patch equation. Zbl 1371.35220
Kiselev, Alexander; Yao, Yao; Zlatoš, Andrej
15
2017
Effective perturbation methods for one-dimensional Schrödinger operators. Zbl 0921.34076
Kiselev, Alexander; Remling, Christian; Simon, Barry
14
1999
The explosion problem in a flow. Zbl 1204.35131
Berestycki, Henri; Kiselev, Alexander; Novikov, Alexei; Ryzhik, Lenya
13
2010
Stability of singular spectral types under decaying perturbations. Zbl 1029.34073
Kiselev, Alexander; Last, Yoram; Simon, Barry
13
2003
The absolutely continuous spectrum of one-dimensional Schrödinger operators with decaying potentials. Zbl 0892.34075
Christ, Michael; Kiselev, Alexander; Remling, Christian
13
1997
Imbedded singular continuous spectrum for Schrödinger operators. Zbl 1081.34084
Kiselev, Alexander
13
2005
Global regularity for 1D Eulerian dynamics with singular interaction forces. Zbl 1405.35162
Kiselev, Alexander; Tan, Changhui
13
2018
Finite time blow up in the hyperbolic Boussinesq system. Zbl 1382.35054
Kiselev, Alexander; Tan, Changhui
13
2018
Quenching of combustion by shear flows. Zbl 1103.35048
Kiselev, Alexander; Zlatoš, Andrej
11
2006
Blow up for the 2D Euler equation on some bounded domains. Zbl 1319.35174
Kiselev, Alexander; Zlatoš, Andrej
10
2015
Absolutely continuous spectrum of perturbed Stark operators. Zbl 0944.34068
Kiselev, Alexander
9
2000
Relaxation enhancement by time-periodic flows. Zbl 1172.35040
Kiselev, Alexander; Shterenberg, Roman; Zlatos, Andrej
9
2008
A simple energy pump for the surface quasi-geostrophic equation. Zbl 1250.35034
Kiselev, Alexander; Nazarov, Fedor
9
2012
Stability of the absolutely continuous spectrum of the Schrödinger equation under slowly decaying perturbations and a. e. convergence of integral operators. Zbl 0944.34072
Kiselev, Alexander
7
1998
Some recent results on the critical surface quasi-geostrophic equation: a review. Zbl 1187.35178
Kiselev, Alexander
7
2009
Fronts in reactive convection: Bounds, stability, and instability. Zbl 1072.76068
Constantin, Peter; Kiselev, Alexander; Ryzhik, Lenya
7
2003
A distinguished mathematical physicist Boris S. Pavlov. Zbl 1364.01036
Popov, I. Y.; Kurasov, P. A.; Naboko, S. N.; Kiselev, A. A.; Ryzhkov, A. E.; Yafyasov, A. M.; Miroshnichenko, G. P.; Karpeshina, Yu. E.; Kruglov, V. I.; Pankratova, T. F.; Popov, A. I.
6
2016
Absolutely continuous spectrum of Stark operators. Zbl 1046.34095
Christ, Michael; Kiselev, Alexander
5
2003
Small scales and singularity formation in fluid dynamics. Zbl 1448.35398
Kiselev, Alexander
4
2018
An upper bound for the bulk burning rate for systems. Zbl 0988.35080
Kiselev, Alexander; Ryzhik, Leonid
3
2001
Approximate eigenvectors and spectral theory. Zbl 1056.35129
Christ, M.; Kiselev, A.; Last, Y.
3
2000
Absolutely continuous spectrum of discrete Schrödinger operators with slowly oscillating potentials. Zbl 1170.39011
Kim, Ahyoung; Kiselev, Alexander
3
2009
Some examples in one-dimensional “geometric” scattering on manifolds. Zbl 0914.58037
Kiselev, Alexander
3
1997
Global regularity and fast small-scale formation for Euler patch equation in a smooth domain. Zbl 1416.35195
Kiselev, Alexander; Li, Chao
3
2019
Eigenfrequencies and eigenfunctions of the Laplacian for Neumann boundary conditions in a system of two coupled cavities. Zbl 0853.35084
Kiselev, A. A.; Pavlov, B. S.
2
1994
An interpolation theorem related to the a. e. convergence of integral operators. Zbl 0918.42023
Kiselev, Alexander
2
1999
Special issue editorial: Small scales and singularity formation in fluid dynamics. Zbl 1427.00048
2
2018
Indefinite metric and scattering by a domain with a small hole. Zbl 0857.47005
Kiselev, A. A.; Popov, I. Yu.
1
1995
Small-scale creation for solutions of the SQG equation. Zbl 1473.35579
He, Siming; Kiselev, Alexander
1
2021
Small scale creation in active scalars. Zbl 1452.35139
Kiselev, Alexander A.
1
2020
Analysis of a singular Boussinesq model. Zbl 1428.35367
Kiselev, Alexander; Yang, Hang
1
2019
Stability of blowup for a 1D model of axisymmetric 3D Euler equation. Zbl 1406.35249
Do, Tam; Kiselev, Alexander; Xu, Xiaoqian
1
2018
Global regularity for a nonlocal PDE describing evolution of polynomial roots under differentiation. Zbl 07541182
Kiselev, Alexander; Tan, Changhui
1
2022
Global regularity for a nonlocal PDE describing evolution of polynomial roots under differentiation. Zbl 07541182
Kiselev, Alexander; Tan, Changhui
1
2022
Small-scale creation for solutions of the SQG equation. Zbl 1473.35579
He, Siming; Kiselev, Alexander
1
2021
Small scale creation in active scalars. Zbl 1452.35139
Kiselev, Alexander A.
1
2020
Global regularity and fast small-scale formation for Euler patch equation in a smooth domain. Zbl 1416.35195
Kiselev, Alexander; Li, Chao
3
2019
Analysis of a singular Boussinesq model. Zbl 1428.35367
Kiselev, Alexander; Yang, Hang
1
2019
Global regularity for the fractional Euler alignment system. Zbl 1390.35370
Do, Tam; Kiselev, Alexander; Ryzhik, Lenya; Tan, Changhui
33
2018
Global regularity for 1D Eulerian dynamics with singular interaction forces. Zbl 1405.35162
Kiselev, Alexander; Tan, Changhui
13
2018
Finite time blow up in the hyperbolic Boussinesq system. Zbl 1382.35054
Kiselev, Alexander; Tan, Changhui
13
2018
Small scales and singularity formation in fluid dynamics. Zbl 1448.35398
Kiselev, Alexander
4
2018
Special issue editorial: Small scales and singularity formation in fluid dynamics. Zbl 1427.00048
2
2018
Stability of blowup for a 1D model of axisymmetric 3D Euler equation. Zbl 1406.35249
Do, Tam; Kiselev, Alexander; Xu, Xiaoqian
1
2018
On the finite-time blowup of a one-dimensional model for the three-dimensional axisymmetric Euler equations. Zbl 1377.35218
Choi, Kyudong; Hou, Thomas Y.; Kiselev, Alexander; Luo, Guo; Sverak, Vladimir; Yao, Yao
32
2017
Local regularity for the modified SQG patch equation. Zbl 1371.35220
Kiselev, Alexander; Yao, Yao; Zlatoš, Andrej
15
2017
Suppression of chemotactic explosion by mixing. Zbl 1351.35233
Kiselev, Alexander; Xu, Xiaoqian
46
2016
Finite time singularity for the modified SQG patch equation. Zbl 1360.35159
Kiselev, Alexander; Ryzhik, Lenya; Yao, Yao; Zlatoš, Andrej
40
2016
A distinguished mathematical physicist Boris S. Pavlov. Zbl 1364.01036
Popov, I. Y.; Kurasov, P. A.; Naboko, S. N.; Kiselev, A. A.; Ryzhkov, A. E.; Yafyasov, A. M.; Miroshnichenko, G. P.; Karpeshina, Yu. E.; Kruglov, V. I.; Pankratova, T. F.; Popov, A. I.
6
2016
Finite time blow up for a 1D model of 2D Boussinesq system. Zbl 1309.35072
Choi, Kyudong; Kiselev, Alexander; Yao, Yao
30
2015
Blow up for the 2D Euler equation on some bounded domains. Zbl 1319.35174
Kiselev, Alexander; Zlatoš, Andrej
10
2015
Small scale creation for solutions of the incompressible two-dimensional Euler equation. Zbl 1304.35521
Kiselev, Alexander; Šverák, Vladimir
74
2014
Lower bounds on the mix norm of passive scalars advected by incompressible enstrophy-constrained flows. Zbl 1293.35248
Iyer, Gautam; Kiselev, Alexander; Xu, Xiaoqian
32
2014
Global well-posedness of slightly supercritical active scalar equations. Zbl 1294.35092
Dabkowski, Michael; Kiselev, Alexander; Silvestre, Luis; Vicol, Vlad
26
2014
Biomixing by chemotaxis and enhancement of biological reactions. Zbl 1236.35190
Kiselev, Alexander; Ryzhik, Lenya
71
2012
Biomixing by chemotaxis and efficiency of biological reactions: the critical reaction case. Zbl 1300.92015
Kiselev, Alexander; Ryzhik, Lenya
43
2012
Global well-posedness for a slightly supercritical surface quasi-geostrophic equation. Zbl 1239.35121
Dabkowski, Michael; Kiselev, Alexander; Vicol, Vlad
16
2012
A simple energy pump for the surface quasi-geostrophic equation. Zbl 1250.35034
Kiselev, Alexander; Nazarov, Fedor
9
2012
Nonlocal maximum principles for active scalars. Zbl 1244.35022
Kiselev, Alexander
36
2011
Variation on a theme of Caffarelli and Vasseur. Zbl 1288.35393
Kiselev, A.; Nazarov, F.
59
2010
Regularity and blow up for active scalars. Zbl 1194.35490
Kiselev, A.
46
2010
Global regularity for the critical dispersive dissipative surface quasi-geostrophic equation. Zbl 1185.35190
Kiselev, Alexander; Nazarov, Fedor
23
2010
The explosion problem in a flow. Zbl 1204.35131
Berestycki, Henri; Kiselev, Alexander; Novikov, Alexei; Ryzhik, Lenya
13
2010
Some recent results on the critical surface quasi-geostrophic equation: a review. Zbl 1187.35178
Kiselev, Alexander
7
2009
Absolutely continuous spectrum of discrete Schrödinger operators with slowly oscillating potentials. Zbl 1170.39011
Kim, Ahyoung; Kiselev, Alexander
3
2009
Diffusion and mixing in fluid flow. Zbl 1180.35084
Constantin, Peter; Kiselev, Alexander; Ryzhik, Lenya; Zlatoš, Andrej
91
2008
Blow up and regularity for fractal Burgers equation. Zbl 1186.35020
Kiselev, Alexander; Nazarov, Fedor; Shterenberg, Roman
78
2008
Relaxation enhancement by time-periodic flows. Zbl 1172.35040
Kiselev, Alexander; Shterenberg, Roman; Zlatos, Andrej
9
2008
Global well-posedness for the critical 2D dissipative quasi-geostrophic equation. Zbl 1121.35115
Kiselev, A.; Nazarov, F.; Volberg, A.
248
2007
Spectral properties of Schrödinger operators with decaying potentials. Zbl 1132.35352
Denisov, Sergey A.; Kiselev, Alexander
16
2007
Quenching of reaction by cellular flows. Zbl 1097.35077
Fannjiang, A.; Kiselev, A.; Ryzhik, L.
17
2006
Quenching of combustion by shear flows. Zbl 1103.35048
Kiselev, Alexander; Zlatoš, Andrej
11
2006
Quenching and propagation in KPP reaction-diffusion equations with a heat loss. Zbl 1087.35051
Berestycki, Henri; Hamel, Francois; Kiselev, Alexander; Ryzhik, Lenya
26
2005
On discrete models of the Euler equation. Zbl 1109.35083
Kiselev, Alexander; Zlatoš, Andrej
17
2005
Imbedded singular continuous spectrum for Schrödinger operators. Zbl 1081.34084
Kiselev, Alexander
13
2005
Transfer matrices and transport for Schrödinger operators. Zbl 1074.81019
Germinet, François; Kiselev, Alexander; Tcheremchantsev, Serguei
33
2004
Dynamical upper bounds on wavepacket spreading. Zbl 1053.81020
Killip, Rowan; Kiselev, Alexander; Last, Yoram
30
2003
Flame enhancement and quenching in fluid flows. Zbl 1068.76570
Vladimirova, Natalia; Constantin, Peter; Kiselev, Alexander; Ruchayskiy, Oleg; Ryzhik, Leonid
15
2003
Stability of singular spectral types under decaying perturbations. Zbl 1029.34073
Kiselev, Alexander; Last, Yoram; Simon, Barry
13
2003
Fronts in reactive convection: Bounds, stability, and instability. Zbl 1072.76068
Constantin, Peter; Kiselev, Alexander; Ryzhik, Lenya
7
2003
Absolutely continuous spectrum of Stark operators. Zbl 1046.34095
Christ, Michael; Kiselev, Alexander
5
2003
Uniqueness results for matrix-valued Schrödinger, Jacobi, and Dirac-type operators. Zbl 1017.34020
Gesztesy, Fritz; Kiselev, Alexander; Makarov, Konstantin A.
32
2002
Scattering and wave operators for one-dimensional Schrödinger operators with slowly decaying nonsmooth potentials. Zbl 1039.34076
Christ, M.; Kiselev, A.
16
2002
Maximal functions associated to filtrations. Zbl 0974.47025
Christ, Michael; Kiselev, Alexander
157
2001
Enhancement of the traveling front speeds in reaction-diffusion equations with advection. Zbl 1002.35069
Kiselev, Alexander; Ryzhik, Leonid
41
2001
Quenching of flames by fluid advection. Zbl 1032.35087
Constantin, Peter; Kiselev, Alexander; Ryzhik, Leonid
19
2001
WKB asymptotic behavior of almost all generalized eigenfunctions for one-dimensional Schrödinger operators with slowly decaying potentials. Zbl 0985.34078
Christ, Michael; Kiselev, Alexander
19
2001
WKB and spectral analysis of one-dimensional Schrödinger operators with slowly varying potentials. Zbl 0992.34065
Christ, Michael; Kiselev, Alexander
17
2001
An upper bound for the bulk burning rate for systems. Zbl 0988.35080
Kiselev, Alexander; Ryzhik, Leonid
3
2001
Bulk burning rate in passive-reactive diffusion. Zbl 0979.76093
Constantin, Peter; Kiselev, Alexander; Oberman, Adam; Ryzhik, Leonid
51
2000
Solutions, spectrum, and dynamics for Schrödinger operators on infinite domains. Zbl 0951.35033
Kiselev, A.; Last, Y.
17
2000
Absolutely continuous spectrum of perturbed Stark operators. Zbl 0944.34068
Kiselev, Alexander
9
2000
Approximate eigenvectors and spectral theory. Zbl 1056.35129
Christ, M.; Kiselev, A.; Last, Y.
3
2000
Effective perturbation methods for one-dimensional Schrödinger operators. Zbl 0921.34076
Kiselev, Alexander; Remling, Christian; Simon, Barry
14
1999
An interpolation theorem related to the a. e. convergence of integral operators. Zbl 0918.42023
Kiselev, Alexander
2
1999
Modified Prüfer and EFGP transforms and the spectral analysis of one-dimensional Schrödinger operators. Zbl 0912.34074
Kiselev, Alexander; Last, Yoram; Simon, Barry
79
1998
Absolutely continuous spectrum for one-dimensional Schrödinger operators with slowly decaying potentials: Some optimal results. Zbl 0899.34051
Christ, Michael; Kiselev, Alexander
32
1998
Stability of the absolutely continuous spectrum of the Schrödinger equation under slowly decaying perturbations and a. e. convergence of integral operators. Zbl 0944.34072
Kiselev, Alexander
7
1998
The absolutely continuous spectrum of one-dimensional Schrödinger operators with decaying potentials. Zbl 0892.34075
Christ, Michael; Kiselev, Alexander; Remling, Christian
13
1997
Some examples in one-dimensional “geometric” scattering on manifolds. Zbl 0914.58037
Kiselev, Alexander
3
1997
Absolutely continuous spectra of one-dimensional Schrödinger operators and Jacobi matrices with slowly decreasing potentials. Zbl 0858.34071
Kiselev, A.
28
1996
Rank one perturbations with infinitesimal coupling. Zbl 0823.47015
Kiselev, Alexander A.; Simon, Barry
25
1995
Indefinite metric and scattering by a domain with a small hole. Zbl 0857.47005
Kiselev, A. A.; Popov, I. Yu.
1
1995
Eigenfrequencies and eigenfunctions of the Laplacian for Neumann boundary conditions in a system of two coupled cavities. Zbl 0853.35084
Kiselev, A. A.; Pavlov, B. S.
2
1994
all top 5

Cited by 1,183 Authors

40 Kiselev, Alexander A.
31 Wu, Jiahong
27 Winkler, Michael
24 Damanik, David
20 Constantin, Peter
19 Zlatoš, Andrej
18 Ryzhik, Lenya
17 Bedrossian, Jacob
17 Simon, Barry
14 Elgindi, Tarek Mohamed
14 Jeong, In-Jee
13 Vicol, Vlad C.
12 Coti Zelati, Michele
12 de Oliveira, César R.
11 Hamel, François
11 Xue, Liutang
10 Breuer, Jonathan
10 Flandoli, Franco
10 Last, Yoram
10 Li, Dong
10 Shvydkoy, Roman V.
10 Tan, Changhui
10 Tcheremchantsev, Serguei
9 Berestycki, Henri
9 Denisov, Sergey A.
9 Dong, Boqing
9 Dong, Hongjie
9 Friedlander, Susan Jean
9 Seo, Ihyeok
9 Xin, Jack X.
9 Xu, Xiaojing
9 Zhang, Junyong
8 Dai, Mimi
8 He, Siming
8 Miao, Changxing
8 Popov, Igor’ Yur’evich
8 Zheng, Jiqiang
7 Albeverio, Sergio A.
7 Carvalho, Silas L.
7 Chae, Dongho
7 Fanelli, Luca
7 Gorodetskii, Anton Semenovich
7 Granero Belinchón, Rafael
7 Jitomirskaya, Svetlana Yakovlevna
7 Liu, Wencai
7 Martinez, Vincent R.
7 Remling, Christian
7 Tadmor, Eitan
7 Wang, Weike
7 Yamazaki, Kazuo
7 Zhang, Qian
6 Barbato, David
6 Burq, Nicolas
6 Cheskidov, Alexey
6 Cordoba, Diego
6 Ferreira, Lucas Catão de Freitas
6 Gancedo, Francisco
6 Gesztesy, Fritz
6 Gómez-Serrano, Javier
6 Henderson, Christopher
6 Hoang, Vu Phuong
6 Iyer, Gautam
6 Jia, Yan
6 Jolly, Michael S.
6 Killip, Rowan
6 Kurasov, Pavel B.
6 Lazar, Omar
6 Liu, Ji
6 Masmoudi, Nader
6 Mazzucato, Anna L.
6 Mizutani, Haruya
6 Morandin, Francesco
6 Naboko, Serguei N.
6 Novikov, Alexei
6 Radosz, Maria
6 Safronov, Oleg
6 Tao, Youshan
6 Vasseur, Alexis F.
6 Wan, Renhui
6 Wang, Chengbo
6 Xiang, Zhaoyin
6 Xu, Xiaoqian
6 Zhang, Zhifei
5 Alonso-Orán, Diego
5 Ambrosio, Vincenzo
5 Chen, Jiecheng
5 Choi, Kyudong
5 Crippa, Gianluca
5 Cuccagna, Scipio
5 Do, Tam
5 Ducrot, Arnaud
5 Fu, Sheng-Chen
5 Germinet, François
5 Hou, Thomas Yizhao
5 Jiu, Quansen
5 Kang, Kyungkeun
5 Koh, Youngwoo
5 Li, Wan-Tong
5 Liu, NaiWei
5 Lukic, Milivoje
...and 1,083 more Authors
all top 5

Cited in 187 Serials

82 Journal of Differential Equations
60 Communications in Mathematical Physics
60 Journal of Functional Analysis
47 Archive for Rational Mechanics and Analysis
46 Journal of Mathematical Analysis and Applications
38 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
33 Transactions of the American Mathematical Society
30 Journal of Mathematical Fluid Mechanics
28 Nonlinearity
27 SIAM Journal on Mathematical Analysis
25 Journal of Mathematical Physics
25 Advances in Mathematics
25 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
25 Proceedings of the American Mathematical Society
25 Discrete and Continuous Dynamical Systems
23 Communications in Partial Differential Equations
19 ZAMP. Zeitschrift für angewandte Mathematik und Physik
19 Annals of PDE
18 Physica D
17 Journal of Nonlinear Science
16 Duke Mathematical Journal
15 Discrete and Continuous Dynamical Systems. Series B
14 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
14 Journal de Mathématiques Pures et Appliquées. Neuvième Série
13 Applied Mathematics Letters
13 Journal of the American Mathematical Society
11 Journal d’Analyse Mathématique
11 Journal of Fluid Mechanics
10 Journal of the European Mathematical Society (JEMS)
10 Journal of Evolution Equations
9 Journal of Statistical Physics
9 NoDEA. Nonlinear Differential Equations and Applications
9 Nonlinear Analysis. Real World Applications
9 Boundary Value Problems
8 Reviews in Mathematical Physics
8 Integral Equations and Operator Theory
8 Mathematische Annalen
8 Calculus of Variations and Partial Differential Equations
8 Communications on Pure and Applied Analysis
7 Communications on Pure and Applied Mathematics
7 Mathematical Methods in the Applied Sciences
7 Annals of Mathematics. Second Series
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Chinese Annals of Mathematics. Series B
6 Geometric and Functional Analysis. GAFA
6 Annales Henri Poincaré
5 Mathematical Notes
5 Journal of Approximation Theory
5 Journal of Computational and Applied Mathematics
5 Probability Theory and Related Fields
5 Revista Matemática Iberoamericana
5 Potential Analysis
5 St. Petersburg Mathematical Journal
5 Analysis & PDE
5 Science China. Mathematics
4 Applicable Analysis
4 Computers & Mathematics with Applications
4 Journal of Computational Physics
4 Reports on Mathematical Physics
4 Applied Mathematics and Computation
4 Monatshefte für Mathematik
4 Acta Applicandae Mathematicae
4 Constructive Approximation
4 SIAM Journal on Applied Mathematics
4 Journal of Dynamics and Differential Equations
4 Physics of Fluids
4 Journal of Mathematical Sciences (New York)
4 Mathematical Physics, Analysis and Geometry
4 Mathematical Modelling of Natural Phenomena
4 Advances in Nonlinear Analysis
3 Letters in Mathematical Physics
3 Arkiv för Matematik
3 Mathematics of Computation
3 The Annals of Probability
3 Inventiones Mathematicae
3 Mathematische Nachrichten
3 Memoirs of the American Mathematical Society
3 Quarterly of Applied Mathematics
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 The Journal of Fourier Analysis and Applications
3 Journal of the Australian Mathematical Society
3 SIAM Journal on Applied Dynamical Systems
3 Complex Variables and Elliptic Equations
3 Networks and Heterogeneous Media
2 Journal of Mathematical Biology
2 Bulletin of Mathematical Biology
2 Acta Mathematica
2 Applied Mathematics and Optimization
2 Archiv der Mathematik
2 Journal für die Reine und Angewandte Mathematik
2 Mathematische Zeitschrift
2 Pacific Journal of Mathematics
2 Results in Mathematics
2 Tokyo Journal of Mathematics
2 Ergodic Theory and Dynamical Systems
2 Acta Mathematicae Applicatae Sinica. English Series
2 Journal of Scientific Computing
2 Forum Mathematicum
2 The Annals of Applied Probability
2 The Journal of Geometric Analysis
...and 87 more Serials
all top 5

Cited in 48 Fields

912 Partial differential equations (35-XX)
373 Fluid mechanics (76-XX)
183 Operator theory (47-XX)
144 Ordinary differential equations (34-XX)
135 Biology and other natural sciences (92-XX)
130 Quantum theory (81-XX)
93 Geophysics (86-XX)
72 Probability theory and stochastic processes (60-XX)
69 Harmonic analysis on Euclidean spaces (42-XX)
60 Dynamical systems and ergodic theory (37-XX)
53 Statistical mechanics, structure of matter (82-XX)
36 Global analysis, analysis on manifolds (58-XX)
29 Numerical analysis (65-XX)
29 Classical thermodynamics, heat transfer (80-XX)
26 Real functions (26-XX)
26 Functional analysis (46-XX)
25 Difference and functional equations (39-XX)
12 Measure and integration (28-XX)
10 Integral equations (45-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
8 Mechanics of particles and systems (70-XX)
7 Functions of a complex variable (30-XX)
7 Mechanics of deformable solids (74-XX)
7 Optics, electromagnetic theory (78-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Special functions (33-XX)
6 Differential geometry (53-XX)
6 Systems theory; control (93-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Integral transforms, operational calculus (44-XX)
3 General and overarching topics; collections (00-XX)
3 Combinatorics (05-XX)
3 Operations research, mathematical programming (90-XX)
2 History and biography (01-XX)
2 Algebraic geometry (14-XX)
2 Potential theory (31-XX)
2 Sequences, series, summability (40-XX)
2 Abstract harmonic analysis (43-XX)
2 Statistics (62-XX)
2 Relativity and gravitational theory (83-XX)
1 Number theory (11-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Approximations and expansions (41-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year

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