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Selberg, Sigmund

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Author ID: selberg.sigmund Recent zbMATH articles by "Selberg, Sigmund"
Published as: Selberg, Sigmund; Selberg, S.
Homepage: https://www.uib.no/en/persons/Sigmund.Selberg
Documents Indexed: 38 Publications since 1997

Publications by Year

Citations contained in zbMATH Open

34 Publications have been cited 425 times in 224 Documents Cited by Year
Bilinear estimates and applications to nonlinear wave equations. Zbl 1146.35389
Klainerman, Sergiu; Selberg, Sigmund
51
2002
Remark on the optimal regularity for equations of wave maps type. Zbl 0884.35102
Klainerman, Sergiu; Selberg, Sigmund
36
1997
Null structure and almost optimal local regularity for the Dirac-Klein-Gordon system. Zbl 1187.35191
D’Ancona, Piero; Foschi, Damiano; Selberg, Sigmund
34
2007
Lower bounds on the radius of spatial analyticity for the KdV equation. Zbl 1366.35161
Selberg, Sigmund; da Silva, Daniel Oliveira
23
2017
Low regularity well-posedness for some nonlinear Dirac equations in one space dimension. Zbl 1240.35362
Selberg, Sigmund; Tesfahun, Achenef
23
2010
Finite-energy global well-posedness of the Maxwell-Klein-Gordon system in Lorenz gauge. Zbl 1193.35164
Selberg, Sigmund; Tesfahun, Achenef
21
2010
Low regularity well-posedness of the Dirac-Klein-Gordon equations in one space dimension. Zbl 1159.35420
Selberg, Sigmund; Tesfahun, Achenef
19
2008
On the radius of spatial analyticity for the 1d Dirac-Klein-Gordon equations. Zbl 1321.35179
Selberg, Sigmund; Tesfahun, Achenef
18
2015
Product estimates for wave-Sobolev spaces in \(2+1\) and \(1+1\) dimensions. Zbl 1222.35006
D’Ancona, Piero; Foschi, Damiano; Selberg, Sigmund
17
2010
Null structure and almost optimal local well-posedness of the Maxwell-Dirac system. Zbl 1196.35177
D’Ancona, Piero; Foschi, Damiano; Selberg, Sigmund
16
2010
Local well-posedness below the charge norm for the Dirac-Klein-Gordon system in two space dimensions. Zbl 1129.35066
D’Ancona, Piero; Foschi, Damiano; Selberg, Sigmund
15
2007
Global well-posedness of the Chern-Simons-Higgs equations with finite energy. Zbl 1263.35155
Selberg, Sigmund; Tesfahun, Achenef
14
2013
Nonrelativistic limit of Klein-Gordon-Maxwell to Schrödinger-Poisson. Zbl 1050.35106
Bechouche, Philippe; Mauser, Norbert J.; Selberg, Sigmund
13
2004
Almost optimal local well-posedness of the Maxwell-Klein-Gordon equations in 1+4 dimensions. Zbl 1013.35077
Selberg, Sigmund
13
2002
Atlas of products for wave-Sobolev spaces on \(\mathbb{R}^{1+3}\). Zbl 1255.35016
D’ancona, Piero; Foschi, Damiano; Selberg, Sigmund
12
2012
On persistence of spatial analyticity for the dispersion-generalized periodic KdV equation. Zbl 1379.35278
Himonas, A. Alexandrou; Kalisch, Henrik; Selberg, Sigmund
11
2017
On the asymptotic analysis of the Dirac-Maxwell system in the nonrelativistic limit. Zbl 1084.35065
Bechouche, Philippe; Mauser, Norbert J.; Selberg, Sigmund
11
2005
Anisotropic bilinear \(L^{2}\) estimates related to the 3D wave equation. Zbl 1160.35041
Selberg, Sigmund
9
2008
Global well-posedness below the charge norm for the Dirac-Klein-Gordon system in one space dimension. Zbl 1130.35005
Selberg, Sigmund
8
2007
Global well-posedness of the Maxwell-Dirac system in two space dimensions. Zbl 1216.35149
D’Ancona, Piero; Selberg, Sigmund
8
2011
On an estimate for the wave equation and applications to nonlinear problems. Zbl 1032.35121
Selberg, Sigmund
8
2002
Null structure and local well-posedness in the energy class for the Yang-Mills equations in Lorenz gauge. Zbl 1353.35245
Selberg, Sigmund; Tesfahun, Achenef
7
2016
On the radius of spatial analyticity for the quartic generalized KdV equation. Zbl 1379.35280
Selberg, Sigmund; Tesfahun, Achenef
7
2017
Remarks on regularity and uniqueness of the Dirac-Klein-Gordon equations in one space dimension. Zbl 1200.35236
Selberg, Sigmund; Tesfahun, Achenef
5
2010
Well-posedness for a dispersive system of the Whitham-Boussinesq type. Zbl 1434.35178
Dinvay, E.; Selberg, S.; Tesfahun, A.
4
2020
Bilinear Fourier restriction estimates related to the 2D wave equation. Zbl 1228.35074
Selberg, Sigmund
4
2011
Dispersive estimate for the 1D Schrödinger equation with a steplike potential. Zbl 1232.35037
D’Ancona, Piero; Selberg, Sigmund
4
2012
Convergence of the Dirac-Maxwell system to the Vlasov-Poisson system. Zbl 1123.35048
Mauser, Nobert J.; Selberg, Sigmund
3
2007
On the radius of spatial analyticity for solutions of the Dirac-Klein-Gordon Equations in two space dimensions. Zbl 1421.35311
Selberg, Sigmund
2
2019
Global existence in the critical space for the Thirring and Gross-Neveu models coupled with the electromagnetic field. Zbl 1397.35242
Selberg, Sigmund
2
2018
Spatial analyticity of solutions to nonlinear dispersive PDE. Zbl 1402.35062
Selberg, Sigmund
2
2018
Unconditional uniqueness in the charge class for the Dirac-Klein-Gordon equations in two space dimensions. Zbl 1268.35101
Selberg, Sigmund; Tesfahun, Achenef
2
2013
Derivation of Schrödinger-Poisson as the non-relativistic limit of Klein-Gordon Maxwell. Zbl 1064.35198
Bechouche, Philippe; Mauser, Norbert J.; Selberg, Sigmund
2
2003
Low regularity solutions of the Maxwell-Dirac system. Zbl 1187.35192
D’Ancona, Piero; Foschi, Damiano; Selberg, Sigmund
1
2009
Well-posedness for a dispersive system of the Whitham-Boussinesq type. Zbl 1434.35178
Dinvay, E.; Selberg, S.; Tesfahun, A.
4
2020
On the radius of spatial analyticity for solutions of the Dirac-Klein-Gordon Equations in two space dimensions. Zbl 1421.35311
Selberg, Sigmund
2
2019
Global existence in the critical space for the Thirring and Gross-Neveu models coupled with the electromagnetic field. Zbl 1397.35242
Selberg, Sigmund
2
2018
Spatial analyticity of solutions to nonlinear dispersive PDE. Zbl 1402.35062
Selberg, Sigmund
2
2018
Lower bounds on the radius of spatial analyticity for the KdV equation. Zbl 1366.35161
Selberg, Sigmund; da Silva, Daniel Oliveira
23
2017
On persistence of spatial analyticity for the dispersion-generalized periodic KdV equation. Zbl 1379.35278
Himonas, A. Alexandrou; Kalisch, Henrik; Selberg, Sigmund
11
2017
On the radius of spatial analyticity for the quartic generalized KdV equation. Zbl 1379.35280
Selberg, Sigmund; Tesfahun, Achenef
7
2017
Null structure and local well-posedness in the energy class for the Yang-Mills equations in Lorenz gauge. Zbl 1353.35245
Selberg, Sigmund; Tesfahun, Achenef
7
2016
On the radius of spatial analyticity for the 1d Dirac-Klein-Gordon equations. Zbl 1321.35179
Selberg, Sigmund; Tesfahun, Achenef
18
2015
Global well-posedness of the Chern-Simons-Higgs equations with finite energy. Zbl 1263.35155
Selberg, Sigmund; Tesfahun, Achenef
14
2013
Unconditional uniqueness in the charge class for the Dirac-Klein-Gordon equations in two space dimensions. Zbl 1268.35101
Selberg, Sigmund; Tesfahun, Achenef
2
2013
Atlas of products for wave-Sobolev spaces on \(\mathbb{R}^{1+3}\). Zbl 1255.35016
D’ancona, Piero; Foschi, Damiano; Selberg, Sigmund
12
2012
Dispersive estimate for the 1D Schrödinger equation with a steplike potential. Zbl 1232.35037
D’Ancona, Piero; Selberg, Sigmund
4
2012
Global well-posedness of the Maxwell-Dirac system in two space dimensions. Zbl 1216.35149
D’Ancona, Piero; Selberg, Sigmund
8
2011
Bilinear Fourier restriction estimates related to the 2D wave equation. Zbl 1228.35074
Selberg, Sigmund
4
2011
Low regularity well-posedness for some nonlinear Dirac equations in one space dimension. Zbl 1240.35362
Selberg, Sigmund; Tesfahun, Achenef
23
2010
Finite-energy global well-posedness of the Maxwell-Klein-Gordon system in Lorenz gauge. Zbl 1193.35164
Selberg, Sigmund; Tesfahun, Achenef
21
2010
Product estimates for wave-Sobolev spaces in \(2+1\) and \(1+1\) dimensions. Zbl 1222.35006
D’Ancona, Piero; Foschi, Damiano; Selberg, Sigmund
17
2010
Null structure and almost optimal local well-posedness of the Maxwell-Dirac system. Zbl 1196.35177
D’Ancona, Piero; Foschi, Damiano; Selberg, Sigmund
16
2010
Remarks on regularity and uniqueness of the Dirac-Klein-Gordon equations in one space dimension. Zbl 1200.35236
Selberg, Sigmund; Tesfahun, Achenef
5
2010
Low regularity solutions of the Maxwell-Dirac system. Zbl 1187.35192
D’Ancona, Piero; Foschi, Damiano; Selberg, Sigmund
1
2009
Low regularity well-posedness of the Dirac-Klein-Gordon equations in one space dimension. Zbl 1159.35420
Selberg, Sigmund; Tesfahun, Achenef
19
2008
Anisotropic bilinear \(L^{2}\) estimates related to the 3D wave equation. Zbl 1160.35041
Selberg, Sigmund
9
2008
Null structure and almost optimal local regularity for the Dirac-Klein-Gordon system. Zbl 1187.35191
D’Ancona, Piero; Foschi, Damiano; Selberg, Sigmund
34
2007
Local well-posedness below the charge norm for the Dirac-Klein-Gordon system in two space dimensions. Zbl 1129.35066
D’Ancona, Piero; Foschi, Damiano; Selberg, Sigmund
15
2007
Global well-posedness below the charge norm for the Dirac-Klein-Gordon system in one space dimension. Zbl 1130.35005
Selberg, Sigmund
8
2007
Convergence of the Dirac-Maxwell system to the Vlasov-Poisson system. Zbl 1123.35048
Mauser, Nobert J.; Selberg, Sigmund
3
2007
On the asymptotic analysis of the Dirac-Maxwell system in the nonrelativistic limit. Zbl 1084.35065
Bechouche, Philippe; Mauser, Norbert J.; Selberg, Sigmund
11
2005
Nonrelativistic limit of Klein-Gordon-Maxwell to Schrödinger-Poisson. Zbl 1050.35106
Bechouche, Philippe; Mauser, Norbert J.; Selberg, Sigmund
13
2004
Derivation of Schrödinger-Poisson as the non-relativistic limit of Klein-Gordon Maxwell. Zbl 1064.35198
Bechouche, Philippe; Mauser, Norbert J.; Selberg, Sigmund
2
2003
Bilinear estimates and applications to nonlinear wave equations. Zbl 1146.35389
Klainerman, Sergiu; Selberg, Sigmund
51
2002
Almost optimal local well-posedness of the Maxwell-Klein-Gordon equations in 1+4 dimensions. Zbl 1013.35077
Selberg, Sigmund
13
2002
On an estimate for the wave equation and applications to nonlinear problems. Zbl 1032.35121
Selberg, Sigmund
8
2002
Remark on the optimal regularity for equations of wave maps type. Zbl 0884.35102
Klainerman, Sergiu; Selberg, Sigmund
36
1997
all top 5

Cited by 205 Authors

22 Selberg, Sigmund
18 Tesfahun, Achenef
17 Huh, Hyungjin
12 Pecher, Hartmut
9 Tataru, Daniel
8 Herr, Sebastian
8 Himonas, A. Alexandrou
7 Oh, Sung-Jin
7 Yuan, Jianjun
6 Candy, Timothy
6 D’Ancona, Piero
5 Bejenaru, Ioan
5 da Silva, Daniel Oliveira
5 Pelinovsky, Dmitry Efimovich
5 Petronilho, Gerson
4 Bournaveas, Nikolaos
4 Ding, Yanheng
4 Foschi, Damiano
4 Ionescu, Alexandru D.
4 Kenig, Carlos Eduardo
4 Krieger, Joachim
4 Machihara, Shuji
4 Nakanishi, Kenji
4 Sterbenz, Jacob
3 Chae, Myeongju
3 Dinvay, Evgueni
3 Guo, Qi
3 Jin, Guanghui
3 Klainerman, Sergiu
3 Mauser, Norbert Julius
3 Naumkin, Ivan P.
3 Okamoto, Mamoru
3 Ozawa, Tohru
3 Schratz, Katharina
3 Stefanov, Atanas G.
3 Zhang, Yongqian
3 Zhao, Xiaofei
2 Ahn, Jaeseop
2 Aichelburg, Peter C.
2 Bao, Weizhu
2 Boukarou, Aissa
2 Comech, Andrew
2 Czubak, Magdalena
2 Donninger, Roland
2 Figueira, Renata O.
2 Fujiwara, Kazumasa
2 Gavrus, Cristian
2 Grünrock, Axel
2 Hebey, Emmanuel
2 Ikeda, Masahiro
2 Kim, Jimyeong
2 Krämer, Patrick
2 Lawrie, Andrew G. W.
2 Lu, Jing
2 Lührmann, Jonas
2 Masmoudi, Nader
2 Moon, Bora
2 Oh, Tadahiro
2 Rodnianski, Igor
2 Seo, Ihyeok
2 Shahshahani, Sohrab
2 Shimabukuro, Yusuke
2 Wang, Chengbo
2 Xu, Tian
2 Yang, Changhun
2 Zennir, Khaled
2 Zhao, Qin
1 Alhaidari, Abdulaziz D.
1 Alkhudhayr, Rehab Nasser
1 Antonić, Nenad
1 Bandrauk, André D.
1 Barostichi, Rafael F.
1 Baskonus, Haci Mehmet
1 Bauer, Sebastian
1 Bechouche, Philippe
1 Bez, Neal
1 Bisconti, Luca
1 Biyar, Magzhan
1 Boussaid, Nabile
1 Bradford, R. A. W.
1 Branding, Volker
1 Bulut, Hasan
1 Burazin, Krešimir
1 Cacciafesta, Federico
1 Cacciapuoti, Claudio
1 Cai, Yongyong
1 Cai, Yuan
1 Cao, Liqun
1 Carlone, Raffaele
1 Castro, Alejandro J.
1 Chalub, Fabio A. C. C.
1 Chanillo, Sagun
1 Chiodaroli, Elisabetta
1 Choi, Woocheol
1 Colliander, James E.
1 Crnjac, Ivana
1 Delort, Jean-Marc
1 Dong, Shijie
1 Dong, Xiaojing
1 Druet, Olivier
...and 105 more Authors
all top 5

Cited in 74 Serials

14 Journal of Hyperbolic Differential Equations
13 Journal of Differential Equations
12 Journal of Mathematical Physics
12 Discrete and Continuous Dynamical Systems
11 Journal of Mathematical Analysis and Applications
11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Communications in Partial Differential Equations
8 Journal of Functional Analysis
7 Communications in Mathematical Physics
7 Communications on Pure and Applied Analysis
6 NoDEA. Nonlinear Differential Equations and Applications
5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
5 SIAM Journal on Mathematical Analysis
5 Communications in Contemporary Mathematics
5 Annales Henri Poincaré
5 Annals of PDE
4 Letters in Mathematical Physics
4 Calculus of Variations and Partial Differential Equations
3 Advances in Mathematics
3 Duke Mathematical Journal
3 Inventiones Mathematicae
3 Journal of the European Mathematical Society (JEMS)
3 Nonlinear Analysis. Real World Applications
2 Communications on Pure and Applied Mathematics
2 Journal of Computational Physics
2 Journal of Computational and Applied Mathematics
2 Transactions of the American Mathematical Society
2 Journal of the American Mathematical Society
2 Journal of Scientific Computing
2 Bulletin of the American Mathematical Society. New Series
2 Journal of Nonlinear Science
2 Abstract and Applied Analysis
2 Journal of Mathematical Fluid Mechanics
2 Annals of Mathematics. Second Series
2 Analysis (München)
1 International Journal of Theoretical Physics
1 Mathematical Methods in the Applied Sciences
1 Nuclear Physics. B
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Mathematics of Computation
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Publications Mathématiques
1 Journal of the Mathematical Society of Japan
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Proceedings of the American Mathematical Society
1 SIAM Journal on Numerical Analysis
1 Physica D
1 Revista Matemática Iberoamericana
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Mathematical Physics, Analysis and Geometry
1 Communications of the Korean Mathematical Society
1 Acta Mathematica Sinica. English Series
1 Journal of Evolution Equations
1 Entropy
1 Multiscale Modeling & Simulation
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Journal of Physics A: Mathematical and Theoretical
1 Analysis & PDE
1 Advances in Pure and Applied Mathematics
1 Kyoto Journal of Mathematics
1 Analysis and Mathematical Physics
1 Forum of Mathematics, Sigma
1 Evolution Equations and Control Theory
1 Complex Analysis and its Synergies
1 Journal of Function Spaces
1 Minimax Theory and its Applications

Citations by Year