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Shepelsky, Dmitry

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Author ID: shepelsky.dmitry Recent zbMATH articles by "Shepelsky, Dmitry"
Published as: Shepelsky, Dmitry; Shepelsky, D.; Shepel’skij, D. G.; Shepelsky, Dimitri; Shepelsky, Dimitry; Shepel’sky, D. G.; Shepelsky, D. G.
External Links: ORCID
Documents Indexed: 59 Publications since 1991, including 1 Book
Reviewing Activity: 213 Reviews

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 542 times in 290 Documents Cited by Year
Long-time asymptotics for the Camassa-Holm equation. Zbl 1204.37073
Boutet De Monvel, Anne; Kostenko, Aleksey; Shepelsky, Dmitry; Teschl, Gerald
79
2009
The mKdV equation on the half-line. Zbl 1057.35050
Boutet de Monvel, A.; Fokas, A. S.; Shepelsky, D.
41
2004
Analysis of the global relation for the nonlinear Schrödinger equation on the half-line. Zbl 1055.35107
Boutet de Monvel, A.; Fokas, A. S.; Shepelsky, D.
37
2003
Integrable nonlinear evolution equations on a finite interval. Zbl 1131.37064
Boutet de Monvel, Anne; Fokas, Athanassis S.; Shepelsky, Dmitry
37
2006
A Riemann-Hilbert approach for the Degasperis-Procesi equation. Zbl 1291.35326
de Monvel, Anne Boutet; Shepelsky, Dmitry
35
2013
Riemann-Hilbert approach for the Camassa-Holm equation on the line. Zbl 1110.35056
Boutet de Monvel, Anne; Shepelsky, Dmitry
34
2006
Focusing NLS equation: long-time dynamics of step-like initial data. Zbl 1220.35166
Boutet de Monvel, Anne; Kotlyarov, Vladimir P.; Shepelsky, Dmitry
28
2011
The Ostrovsky-Vakhnenko equation by a Riemann-Hilbert approach. Zbl 1311.35175
De Monvel, Anne Boutet; Shepelsky, Dmitry
21
2015
Long-time asymptotics of the Camassa-Holm equation on the line. Zbl 1387.35523
Boutet de Monvel, Anne; Shepelsky, Dmitry
16
2008
Riemann-Hilbert problem in the inverse scattering for the Camassa-Holm equation on the line. Zbl 1157.35447
Boutet de Monvel, Anne; Shepelsky, Dmitry
14
2008
The modified KdV equation on a finite interval. Zbl 1044.35080
Boutet de Monvel, Anne; Shepelsky, Dmitry
14
2003
Initial boundary value problem for the mKdV equation on a finite interval. Zbl 1137.35419
Boutet de Monvel, Anne; Shepelsky, Dmitry
14
2004
Decaying long-time asymptotics for the focusing NLS equation with periodic boundary condition. Zbl 1165.35464
Boutet de Monvel, Anne; Kotlyarov, Vladimir; Shepelsky, Dmitry
12
2009
The short-wave model for the Camassa-Holm equation: a Riemann-Hilbert approach. Zbl 1229.35239
Boutet de Monvel, Anne; Shepelsky, Dmitry; Zielinski, Lech
12
2011
The short pulse equation by a Riemann-Hilbert approach. Zbl 1370.35238
Boutet de Monvel, Anne; Shepelsky, Dmitry; Zielinski, Lech
12
2017
Initial boundary value problems for integrable systems: towards the long time asymptotics. Zbl 1197.37087
Boutet de Monvel, Anne; Kotlyarov, Vladimir P.; Shepelsky, Dmitry; Zheng, Chunxiong
11
2010
Long-time asymptotics for the Degasperis-Procesi equation on the half-line. (Comportement asymptotique en temps grand de l’équation de Degasperis-Procesi sur la demi-droite.) Zbl 1417.35163
Boutet de Monvel, Anne; Lenells, Jonatan; Shepelsky, Dmitry
10
2019
Long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation. Zbl 1436.35293
Rybalko, Yan; Shepelsky, Dmitry
9
2019
The inverse problem of reconstruction of the medium’s conductivity in a class of discontinuous and increasing functions. Zbl 0823.34019
Shepel’sky, D. G.
9
1994
The Camassa-Holm equation on the half-line: a Riemann-Hilbert approach. Zbl 1157.37334
Boutet de Monvel, Anne; Shepelsky, Dmitry
9
2008
Initial boundary value problem for the focusing nonlinear Schrödinger equation with Robin boundary condition: half-line approach. Zbl 1371.35272
Its, Alexander; Shepelsky, Dmitry
9
2013
Painlevé-type asymptotics for the Camassa-Holm equation. Zbl 1213.35357
Boutet De Monvel, Anne; Its, Alexander; Shepelsky, Dmitry
9
2010
Inverse scattering method in electromagnetic sounding theory. Zbl 0803.35160
Khruslov, E. Ya.; Shepelsky, D. G.
8
1994
A Riemann-Hilbert approach for the Novikov equation. Zbl 1346.35177
Boutet de Monvel, Anne; Shepelsky, Dmitry; Zielinski, Lech
7
2016
Long time asymptotics of the Camassa-Holm equation on the half-line. Zbl 1191.35245
Boutet de Monvel, Anne; Shepelsky, Dmitry
6
2009
Long-time asymptotics for the nonlocal nonlinear Schrödinger equation with step-like initial data. Zbl 1451.35194
Rybalko, Yan; Shepelsky, Dmitry
5
2021
Inverse scattering problem for a stratified bi-isotropic medium at oblique incidence. Zbl 0895.35106
Boutet de Monvel, Anne; Shepelsky, Dimitri
4
1998
The inverse scattering transform in the form of a Riemann-Hilbert problem for the Dullin-Gottwald-Holm equation. Zbl 1358.35161
Shepelsky, Dmitry; Zielinski, Lech
4
2017
Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation. Zbl 1420.35364
Kamvissis, Spyridon; Shepelsky, Dmitry; Zielinski, Lech
3
2015
The Camassa-Holm equation on the half-line. Zbl 1079.35086
Boutet de Monvel, Anne; Shepelsky, Dmitry
3
2005
Inverse scattering problem for a stratified anisotropic slab. Zbl 0926.35163
Sheen, Dongwoo; Shepelsky, Dmitry
3
1999
A frequency-domain inverse problem for a dispersive stratified chiral medium. Zbl 1056.78008
Boutet de Monvel, Anne; Shepelsky, Dmitry
3
2000
Inverse scattering problem for anisotropic media. Zbl 0842.34084
Boutet de Monvel, A.; Shepelsky, D.
3
1995
Direct and inverse scattering problem for a stratified nonreciprocal chiral medium. Zbl 0874.35129
Boutet de Monvel, Anne; Shepelsky, Dimitry
3
1997
Planar unimodular Baker-Akhiezer function for the nonlinear Schrödinger equation. Zbl 1386.35379
Kotlyarov, Vladimir; Shepelsky, Dmitry
3
2017
The Ostrovsky-Vakhnenko equation: A Riemann-Hilbert approach. (L’équation d’Ostrovsky-Vakhnenko: Une approche de type Riemann-Hilbert.) Zbl 1294.35127
de Monvel, Anne Boutet; Shepelsky, Dmitry
3
2014
Riemann-Hilbert approach for the integrable nonlocal nonlinear Schrödinger equation with step-like initial data. Zbl 1424.35316
Rybalko, Ya.; Shepelsky, D.
2
2018
Initial-boundary value problem for the Camassa-Holm equation with linearizable boundary condition. Zbl 1230.37089
Boutet de Monvel, Anne; Shepelsky, Dmitry
2
2011
Reconstruction of a stratified omega medium and the associated Riemann-Hilbert problem. Zbl 1009.35087
Boutet de Monvel, A.; Shepelsky, D.
1
2002
Uniqueness in a frequency-domain inverse problem of a stratified uniaxial bianisotropic medium. Zbl 1074.78525
Sheen, Dongwoo; Shepelsky, Dmitry
1
2000
Riemann-Hilbert problem and frequency-domain inverse problem for a stratified omega medium. Zbl 0995.78019
Boutet de Monvel, Anne; Shepelsky, Dmitry
1
2000
Preface. Zbl 1320.01035
Khruslov, E.; Pastur, L.; Shepelsky, D.
1
2014
The Camassa-Holm equation on the half-line with linearizable boundary condition. Zbl 1200.35205
Boutet de Monvel, Anne; Shepelsky, Dmitry
1
2010
Direct nonlinear Fourier transform algorithms for the computation of solitonic spectra in focusing nonlinear Schrödinger equation. Zbl 07263937
Vasylchenkova, A.; Prilepsky, J. E.; Shepelsky, D.; Chattopadhyay, A.
1
2019
Long-time asymptotics for the integrable nonlocal focusing nonlinear Schrödinger equation for a family of step-like initial data. Zbl 1462.35367
Rybalko, Yan; Shepelsky, Dmitry
1
2021
The focusing NLS equation with step-like oscillating background: scenarios of long-time asymptotics. Zbl 1466.35322
Boutet de Monvel, Anne; Lenells, Jonatan; Shepelsky, Dmitry
1
2021
Long-time asymptotics for the nonlocal nonlinear Schrödinger equation with step-like initial data. Zbl 1451.35194
Rybalko, Yan; Shepelsky, Dmitry
5
2021
Long-time asymptotics for the integrable nonlocal focusing nonlinear Schrödinger equation for a family of step-like initial data. Zbl 1462.35367
Rybalko, Yan; Shepelsky, Dmitry
1
2021
The focusing NLS equation with step-like oscillating background: scenarios of long-time asymptotics. Zbl 1466.35322
Boutet de Monvel, Anne; Lenells, Jonatan; Shepelsky, Dmitry
1
2021
Long-time asymptotics for the Degasperis-Procesi equation on the half-line. (Comportement asymptotique en temps grand de l’équation de Degasperis-Procesi sur la demi-droite.) Zbl 1417.35163
Boutet de Monvel, Anne; Lenells, Jonatan; Shepelsky, Dmitry
10
2019
Long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation. Zbl 1436.35293
Rybalko, Yan; Shepelsky, Dmitry
9
2019
Direct nonlinear Fourier transform algorithms for the computation of solitonic spectra in focusing nonlinear Schrödinger equation. Zbl 07263937
Vasylchenkova, A.; Prilepsky, J. E.; Shepelsky, D.; Chattopadhyay, A.
1
2019
Riemann-Hilbert approach for the integrable nonlocal nonlinear Schrödinger equation with step-like initial data. Zbl 1424.35316
Rybalko, Ya.; Shepelsky, D.
2
2018
The short pulse equation by a Riemann-Hilbert approach. Zbl 1370.35238
Boutet de Monvel, Anne; Shepelsky, Dmitry; Zielinski, Lech
12
2017
The inverse scattering transform in the form of a Riemann-Hilbert problem for the Dullin-Gottwald-Holm equation. Zbl 1358.35161
Shepelsky, Dmitry; Zielinski, Lech
4
2017
Planar unimodular Baker-Akhiezer function for the nonlinear Schrödinger equation. Zbl 1386.35379
Kotlyarov, Vladimir; Shepelsky, Dmitry
3
2017
A Riemann-Hilbert approach for the Novikov equation. Zbl 1346.35177
Boutet de Monvel, Anne; Shepelsky, Dmitry; Zielinski, Lech
7
2016
The Ostrovsky-Vakhnenko equation by a Riemann-Hilbert approach. Zbl 1311.35175
De Monvel, Anne Boutet; Shepelsky, Dmitry
21
2015
Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation. Zbl 1420.35364
Kamvissis, Spyridon; Shepelsky, Dmitry; Zielinski, Lech
3
2015
The Ostrovsky-Vakhnenko equation: A Riemann-Hilbert approach. (L’équation d’Ostrovsky-Vakhnenko: Une approche de type Riemann-Hilbert.) Zbl 1294.35127
de Monvel, Anne Boutet; Shepelsky, Dmitry
3
2014
Preface. Zbl 1320.01035
Khruslov, E.; Pastur, L.; Shepelsky, D.
1
2014
A Riemann-Hilbert approach for the Degasperis-Procesi equation. Zbl 1291.35326
de Monvel, Anne Boutet; Shepelsky, Dmitry
35
2013
Initial boundary value problem for the focusing nonlinear Schrödinger equation with Robin boundary condition: half-line approach. Zbl 1371.35272
Its, Alexander; Shepelsky, Dmitry
9
2013
Focusing NLS equation: long-time dynamics of step-like initial data. Zbl 1220.35166
Boutet de Monvel, Anne; Kotlyarov, Vladimir P.; Shepelsky, Dmitry
28
2011
The short-wave model for the Camassa-Holm equation: a Riemann-Hilbert approach. Zbl 1229.35239
Boutet de Monvel, Anne; Shepelsky, Dmitry; Zielinski, Lech
12
2011
Initial-boundary value problem for the Camassa-Holm equation with linearizable boundary condition. Zbl 1230.37089
Boutet de Monvel, Anne; Shepelsky, Dmitry
2
2011
Initial boundary value problems for integrable systems: towards the long time asymptotics. Zbl 1197.37087
Boutet de Monvel, Anne; Kotlyarov, Vladimir P.; Shepelsky, Dmitry; Zheng, Chunxiong
11
2010
Painlevé-type asymptotics for the Camassa-Holm equation. Zbl 1213.35357
Boutet De Monvel, Anne; Its, Alexander; Shepelsky, Dmitry
9
2010
The Camassa-Holm equation on the half-line with linearizable boundary condition. Zbl 1200.35205
Boutet de Monvel, Anne; Shepelsky, Dmitry
1
2010
Long-time asymptotics for the Camassa-Holm equation. Zbl 1204.37073
Boutet De Monvel, Anne; Kostenko, Aleksey; Shepelsky, Dmitry; Teschl, Gerald
79
2009
Decaying long-time asymptotics for the focusing NLS equation with periodic boundary condition. Zbl 1165.35464
Boutet de Monvel, Anne; Kotlyarov, Vladimir; Shepelsky, Dmitry
12
2009
Long time asymptotics of the Camassa-Holm equation on the half-line. Zbl 1191.35245
Boutet de Monvel, Anne; Shepelsky, Dmitry
6
2009
Long-time asymptotics of the Camassa-Holm equation on the line. Zbl 1387.35523
Boutet de Monvel, Anne; Shepelsky, Dmitry
16
2008
Riemann-Hilbert problem in the inverse scattering for the Camassa-Holm equation on the line. Zbl 1157.35447
Boutet de Monvel, Anne; Shepelsky, Dmitry
14
2008
The Camassa-Holm equation on the half-line: a Riemann-Hilbert approach. Zbl 1157.37334
Boutet de Monvel, Anne; Shepelsky, Dmitry
9
2008
Integrable nonlinear evolution equations on a finite interval. Zbl 1131.37064
Boutet de Monvel, Anne; Fokas, Athanassis S.; Shepelsky, Dmitry
37
2006
Riemann-Hilbert approach for the Camassa-Holm equation on the line. Zbl 1110.35056
Boutet de Monvel, Anne; Shepelsky, Dmitry
34
2006
The Camassa-Holm equation on the half-line. Zbl 1079.35086
Boutet de Monvel, Anne; Shepelsky, Dmitry
3
2005
The mKdV equation on the half-line. Zbl 1057.35050
Boutet de Monvel, A.; Fokas, A. S.; Shepelsky, D.
41
2004
Initial boundary value problem for the mKdV equation on a finite interval. Zbl 1137.35419
Boutet de Monvel, Anne; Shepelsky, Dmitry
14
2004
Analysis of the global relation for the nonlinear Schrödinger equation on the half-line. Zbl 1055.35107
Boutet de Monvel, A.; Fokas, A. S.; Shepelsky, D.
37
2003
The modified KdV equation on a finite interval. Zbl 1044.35080
Boutet de Monvel, Anne; Shepelsky, Dmitry
14
2003
Reconstruction of a stratified omega medium and the associated Riemann-Hilbert problem. Zbl 1009.35087
Boutet de Monvel, A.; Shepelsky, D.
1
2002
A frequency-domain inverse problem for a dispersive stratified chiral medium. Zbl 1056.78008
Boutet de Monvel, Anne; Shepelsky, Dmitry
3
2000
Uniqueness in a frequency-domain inverse problem of a stratified uniaxial bianisotropic medium. Zbl 1074.78525
Sheen, Dongwoo; Shepelsky, Dmitry
1
2000
Riemann-Hilbert problem and frequency-domain inverse problem for a stratified omega medium. Zbl 0995.78019
Boutet de Monvel, Anne; Shepelsky, Dmitry
1
2000
Inverse scattering problem for a stratified anisotropic slab. Zbl 0926.35163
Sheen, Dongwoo; Shepelsky, Dmitry
3
1999
Inverse scattering problem for a stratified bi-isotropic medium at oblique incidence. Zbl 0895.35106
Boutet de Monvel, Anne; Shepelsky, Dimitri
4
1998
Direct and inverse scattering problem for a stratified nonreciprocal chiral medium. Zbl 0874.35129
Boutet de Monvel, Anne; Shepelsky, Dimitry
3
1997
Inverse scattering problem for anisotropic media. Zbl 0842.34084
Boutet de Monvel, A.; Shepelsky, D.
3
1995
The inverse problem of reconstruction of the medium’s conductivity in a class of discontinuous and increasing functions. Zbl 0823.34019
Shepel’sky, D. G.
9
1994
Inverse scattering method in electromagnetic sounding theory. Zbl 0803.35160
Khruslov, E. Ya.; Shepelsky, D. G.
8
1994
all top 5

Cited by 252 Authors

22 Fan, Engui
22 Shepelsky, Dmitry
18 Boutet de Monvel, Anne Marie
16 Xu, Jian
15 Lenells, Jonatan
12 Guo, Boling
12 Zhou, Shouming
10 Fokas, Athanassios S.
10 Liu, Nan
9 Geng, Xianguo
9 Yin, Zhaoyang
6 Hu, Beibei
6 Xia, Tie-Cheng
5 Biondini, Gino
5 Kotlyarov, Vladimir P.
5 Minakov, Alexander
5 Zheng, Rudong
4 Geyer, Anna
4 He, Jingsong
4 Huang, Lin
4 Hwang, Guenbo
4 Ivanov, Rossen I.
4 Liu, Huan
4 Ma, Wen-Xiu
4 Mantzavinos, Dionyssios
4 Novruzov, Emil B.
4 Qiao, Zhijun
4 Rybalko, Yan
4 Shen, Chunyu
4 Sheu, Tony Wen-Hann
4 Tian, Shoufu
4 Xia, Baoqiang
4 Yan, Zhenya
4 Zhu, Qiaozhen
3 Bondarenko, Natalia P.
3 Buterin, Sergey Alexandrovich
3 Chang, Chueh-Hsin
3 Chen, Mingming
3 Chen, Rong
3 Cheng, Yi
3 Duruk Mutlubaş, Nilay
3 Eckhardt, Jonathan
3 Li, Sitai
3 Prinari, Barbara
3 Rao, Jiguang
3 Tian, Lixin
3 Wang, Kedong
3 Wang, Yufeng
3 Xiao, Yu
3 Yang, Chuanfu
3 Yang, Shaojie
3 Yu, Ching-Hao
3 Yurko, Vjacheslav Anatoljevich
3 Zhang, Baoshuai
3 Zielinski, Lech
2 Akel, Mohamed S.
2 Alabbad, Fatimah
2 Chen, Meisen
2 Chen, Shuyan
2 Chen, Yong
2 Coclite, Giuseppe Maria
2 Deift, Percy A.
2 Demontis, Francesco
2 Dong, Huanhe
2 Doronin, Gleb Germanovitch
2 Feng, Baofeng
2 Gao, Anna
2 Gui, Guilong
2 Guo, Yingying
2 Hitzazis, Iasonas
2 Kaikina, Elena Igorevna
2 Klein, Christian
2 Kwon, Kiwoon
2 Larkin, Nikolai A.
2 Li, Nianhua
2 Li, Yongsheng
2 Liu, Yue
2 Mauersberger, Julian
2 Mihalache, Dumitru
2 Mu, Chunlai
2 Nguyen, Dinh Liem
2 Pan, Shihang
2 Parkes, E. John
2 Pelloni, Beatrice
2 Quirchmayr, Ronald
2 Risebro, Nils Henrik
2 Sakhnovich, Alexander L.
2 Shieh, Chung-Tsun
2 Treharne, P. A.
2 Tsoubelis, Dimitri
2 Vakhnenko, Vyacheslav O.
2 Van der Mee, Cornelis Victor Maria
2 Wang, Dengshan
2 Xue, Bo
2 Yan, Wei
2 Zhang, Ling
2 Zheng, Chunxiong
1 Albeverio, Sergio A.
1 Alonso-Mallo, Isaías
1 Amirov, Rauf Kh.
...and 152 more Authors
all top 5

Cited in 85 Serials

30 Journal of Differential Equations
21 Journal of Mathematical Physics
17 Journal of Mathematical Analysis and Applications
15 Journal of Nonlinear Mathematical Physics
11 Communications in Mathematical Physics
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Mathematical Physics, Analysis and Geometry
8 Applicable Analysis
8 Monatshefte für Mathematik
8 Physica D
8 Discrete and Continuous Dynamical Systems
7 Studies in Applied Mathematics
6 Applied Mathematics Letters
6 Journal of Nonlinear Science
6 Nonlinear Analysis. Real World Applications
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Journal of Computational Physics
4 Journal of Geometry and Physics
4 Journal of Mathematical Fluid Mechanics
4 Boundary Value Problems
4 Advances in Mathematical Physics
3 Nonlinearity
3 Annales de l’Institut Fourier
3 SIAM Journal on Mathematical Analysis
3 Communications in Nonlinear Science and Numerical Simulation
3 Communications in Theoretical Physics
3 Analysis and Mathematical Physics
2 Letters in Mathematical Physics
2 Theoretical and Mathematical Physics
2 Wave Motion
2 Applied Mathematics and Computation
2 BIT
2 Journal of Computational and Applied Mathematics
2 Chinese Annals of Mathematics. Series B
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Inverse Problems in Science and Engineering
2 Complex Analysis and Operator Theory
2 Journal of Physics A: Mathematical and Theoretical
2 Science China. Mathematics
1 Archive for Rational Mechanics and Analysis
1 Computer Methods in Applied Mechanics and Engineering
1 Communications on Pure and Applied Mathematics
1 Inverse Problems
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Moscow University Physics Bulletin
1 Physics Letters. A
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Chaos, Solitons and Fractals
1 Bulletin de la Société Mathématique de France
1 Mathematische Annalen
1 Mathematics and Computers in Simulation
1 Numerical Functional Analysis and Optimization
1 Siberian Mathematical Journal
1 Applied Numerical Mathematics
1 Acta Mathematicae Applicatae Sinica. English Series
1 Constructive Approximation
1 Numerical Methods for Partial Differential Equations
1 Mathematical and Computer Modelling
1 The Journal of Geometric Analysis
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Review
1 Advances in Computational Mathematics
1 Opuscula Mathematica
1 Abstract and Applied Analysis
1 Chaos
1 Acta Mathematica Sinica. English Series
1 Lobachevskii Journal of Mathematics
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Physical Review Letters
1 Journal of Evolution Equations
1 Journal of Applied Mathematics
1 Communications on Pure and Applied Analysis
1 Milan Journal of Mathematics
1 Analysis and Applications (Singapore)
1 Advances in Difference Equations
1 Journal of Mathematical Physics, Analysis, Geometry
1 Complex Variables and Elliptic Equations
1 Frontiers of Mathematics in China
1 Inverse Problems and Imaging
1 International Journal of Differential Equations
1 Random Matrices: Theory and Applications
1 Electronic Research Archive

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