## Dinh, Van Duong

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 Author ID: dinh.van-duong Published as: Dinh, Van Duong; Dinh, van Duong Further Spellings: Dinh Van Duong Homepage: https://duongdinh.com/ External Links: ORCID · arXiv · ResearchGate · IdRef · theses.fr
 Documents Indexed: 44 Publications since 2017 Co-Authors: 8 Co-Authors with 11 Joint Publications 134 Co-Co-Authors
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### Co-Authors

 33 single-authored 4 Keraani, Sahbi 3 Forcella, Luigi 2 Hernandez Ardila, Alex 2 Bensouilah, Abdelwahab 2 Majdoub, Mohamed 1 Feng, Binhua 1 Hajaiej, Hichem 1 Zhu, Shihui
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### Serials

 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Mathematical Physics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Discrete and Continuous Dynamical Systems 3 Communications on Pure and Applied Analysis 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 Journal of Evolution Equations 2 Dynamics of Partial Differential Equations 1 Nonlinearity 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Monatshefte für Mathematik 1 Acta Applicandae Mathematicae 1 Physica D 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Journal of Dynamics and Differential Equations 1 Topological Methods in Nonlinear Analysis 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 NoDEA. Nonlinear Differential Equations and Applications 1 Nonlinear Analysis. Real World Applications 1 Communications in Mathematical Sciences 1 Journal of Hyperbolic Differential Equations 1 Complex Variables and Elliptic Equations 1 Discrete and Continuous Dynamical Systems. Series S 1 Evolution Equations and Control Theory
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### Fields

 44 Partial differential equations (35-XX) 5 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX)

### Citations contained in zbMATH Open

26 Publications have been cited 159 times in 96 Documents Cited by Year
Blowup of $$H^1$$ solutions for a class of the focusing inhomogeneous nonlinear Schrödinger equation. Zbl 1388.35177
Dinh, Van Duong
2018
On well-posedness, regularity and ill-posedness for the nonlinear fourth-order Schrödinger equation. Zbl 1404.35411
Dinh, Van Duong
2018
On stability and instability of standing waves for the nonlinear Schrödinger equation with an inverse-square potential. Zbl 1402.35255
Bensouilah, Abdelwahab; Dinh, Van Duong; Zhu, Shihui
2018
Energy scattering for a class of the defocusing inhomogeneous nonlinear Schrödinger equation. Zbl 1420.35349
Dinh, Van Duong
2019
Global existence and blowup for a class of the focusing nonlinear Schrödinger equation with inverse-square potential. Zbl 1403.35273
Dinh, Van Duong
2018
On blow-up solutions to the focusing mass-critical nonlinear fractional Schrödinger equation. Zbl 1402.35298
Dinh, Van Duong
2019
On instability of standing waves for the mass-supercritical fractional nonlinear Schrödinger equation. Zbl 1420.35348
Dinh, Van Duong
2019
Existence, stability of standing waves and the characterization of finite time blow-up solutions for a system NLS with quadratic interaction. Zbl 1433.35359
Dinh, Van Duong
2020
Blow-up criteria for fractional nonlinear Schrödinger equations. Zbl 1428.35501
Dinh, Van Duong
2019
On blowup solutions to the focusing intercritical nonlinear fourth-order Schrödinger equation. Zbl 1431.35171
Dinh, Van Duong
2019
On the focusing mass-critical nonlinear fourth-order Schrödinger equation below the energy space. Zbl 1382.35052
Dinh, Van Duong
2017
Global existence and scattering for a class of nonlinear fourth-order Schrödinger equation below the energy space. Zbl 1393.35219
Dinh, Van Duong
2018
Some qualitative studies of the focusing inhomogeneous Gross-Pitaevskii equation. Zbl 1437.35615
Ardila, Alex H.; Dinh, Van Duong
2020
On the Cauchy problem for the nonlinear semi-relativistic equation in Sobolev spaces. Zbl 1402.35297
Dinh, Van Duong
2018
On fractional nonlinear Schrödinger equation with combined power-type nonlinearities. Zbl 1420.35350
Dinh, Van Duong; Feng, Binhua
2019
Strichartz estimates for the fractional Schrödinger and wave equations on compact manifolds without boundary. Zbl 1377.35261
Dinh, Van Duong
2017
A study on blowup solutions to the focusing $$L^{2}$$-supercritical nonlinear fractional Schrödinger equation. Zbl 1436.35317
Dinh, Van Duong
2018
A unified approach for energy scattering for focusing nonlinear Schrödinger equations. Zbl 1448.35467
Dinh, Van Duong
2020
Dynamics of radial solutions for the focusing fourth-order nonlinear Schrödinger equations. Zbl 1472.35352
Dinh, Van Duong
2021
Energy scattering for a class of inhomogeneous nonlinear Schrödinger equation in two dimensions. Zbl 1473.35501
Dinh, Van Duong
2021
Random data theory for the cubic fourth-order nonlinear Schrödinger equation. Zbl 1460.35323
Dinh, Van Duong
2021
On nonlinear Schrödinger equations with repulsive inverse-power potentials. Zbl 1472.35353
Dinh, Van Duong
2021
On the instability of standing waves for the nonlinear Schrödinger equation with inverse-square potential. Zbl 1479.35773
Dinh, Van Duong
2021
Probabilistic Cauchy theory for the mass-critical fourth-order nonlinear Schrödinger equation. Zbl 1464.35318
Dinh, Van Duong
2021
Long time dynamics of nonradial solutions to inhomogeneous nonlinear Schrödinger equations. Zbl 1479.35776
Dinh, Van Duong; Keraani, Sahbi
2021
Sharp conditions for scattering and blow-up for a system of NLS arising in optical materials with $$\chi^3$$ nonlinear response. Zbl 1479.35761
Ardila, Alex H.; Dinh, Van Duong; Forcella, Luigi
2021
Dynamics of radial solutions for the focusing fourth-order nonlinear Schrödinger equations. Zbl 1472.35352
Dinh, Van Duong
2021
Energy scattering for a class of inhomogeneous nonlinear Schrödinger equation in two dimensions. Zbl 1473.35501
Dinh, Van Duong
2021
Random data theory for the cubic fourth-order nonlinear Schrödinger equation. Zbl 1460.35323
Dinh, Van Duong
2021
On nonlinear Schrödinger equations with repulsive inverse-power potentials. Zbl 1472.35353
Dinh, Van Duong
2021
On the instability of standing waves for the nonlinear Schrödinger equation with inverse-square potential. Zbl 1479.35773
Dinh, Van Duong
2021
Probabilistic Cauchy theory for the mass-critical fourth-order nonlinear Schrödinger equation. Zbl 1464.35318
Dinh, Van Duong
2021
Long time dynamics of nonradial solutions to inhomogeneous nonlinear Schrödinger equations. Zbl 1479.35776
Dinh, Van Duong; Keraani, Sahbi
2021
Sharp conditions for scattering and blow-up for a system of NLS arising in optical materials with $$\chi^3$$ nonlinear response. Zbl 1479.35761
Ardila, Alex H.; Dinh, Van Duong; Forcella, Luigi
2021
Existence, stability of standing waves and the characterization of finite time blow-up solutions for a system NLS with quadratic interaction. Zbl 1433.35359
Dinh, Van Duong
2020
Some qualitative studies of the focusing inhomogeneous Gross-Pitaevskii equation. Zbl 1437.35615
Ardila, Alex H.; Dinh, Van Duong
2020
A unified approach for energy scattering for focusing nonlinear Schrödinger equations. Zbl 1448.35467
Dinh, Van Duong
2020
Energy scattering for a class of the defocusing inhomogeneous nonlinear Schrödinger equation. Zbl 1420.35349
Dinh, Van Duong
2019
On blow-up solutions to the focusing mass-critical nonlinear fractional Schrödinger equation. Zbl 1402.35298
Dinh, Van Duong
2019
On instability of standing waves for the mass-supercritical fractional nonlinear Schrödinger equation. Zbl 1420.35348
Dinh, Van Duong
2019
Blow-up criteria for fractional nonlinear Schrödinger equations. Zbl 1428.35501
Dinh, Van Duong
2019
On blowup solutions to the focusing intercritical nonlinear fourth-order Schrödinger equation. Zbl 1431.35171
Dinh, Van Duong
2019
On fractional nonlinear Schrödinger equation with combined power-type nonlinearities. Zbl 1420.35350
Dinh, Van Duong; Feng, Binhua
2019
Blowup of $$H^1$$ solutions for a class of the focusing inhomogeneous nonlinear Schrödinger equation. Zbl 1388.35177
Dinh, Van Duong
2018
On well-posedness, regularity and ill-posedness for the nonlinear fourth-order Schrödinger equation. Zbl 1404.35411
Dinh, Van Duong
2018
On stability and instability of standing waves for the nonlinear Schrödinger equation with an inverse-square potential. Zbl 1402.35255
Bensouilah, Abdelwahab; Dinh, Van Duong; Zhu, Shihui
2018
Global existence and blowup for a class of the focusing nonlinear Schrödinger equation with inverse-square potential. Zbl 1403.35273
Dinh, Van Duong
2018
Global existence and scattering for a class of nonlinear fourth-order Schrödinger equation below the energy space. Zbl 1393.35219
Dinh, Van Duong
2018
On the Cauchy problem for the nonlinear semi-relativistic equation in Sobolev spaces. Zbl 1402.35297
Dinh, Van Duong
2018
A study on blowup solutions to the focusing $$L^{2}$$-supercritical nonlinear fractional Schrödinger equation. Zbl 1436.35317
Dinh, Van Duong
2018
On the focusing mass-critical nonlinear fourth-order Schrödinger equation below the energy space. Zbl 1382.35052
Dinh, Van Duong
2017
Strichartz estimates for the fractional Schrödinger and wave equations on compact manifolds without boundary. Zbl 1377.35261
Dinh, Van Duong
2017
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### Cited by 93 Authors

 22 Dinh, Van Duong 9 Feng, Binhua 7 Saanouni, Tarek 5 Liu, Jiayin 4 Guzmán, Carlos M. 4 Lee, Kiyeon 4 Liu, Xuan 3 Hernandez Ardila, Alex 3 Cardoso, Mykael 3 Chen, Ruipeng 3 Cho, Yonggeun 3 Keraani, Sahbi 3 Wang, Qingxuan 3 Zhang, Shuai 2 Alharbi, Majed Ghazi 2 An, JinMyong 2 Campos, Luccas 2 Farah, Luiz Gustavo 2 Ghanmi, Radhia 2 Green, William R. 2 He, Zhiqian 2 Kim, Jinmyong 2 Naumkin, Pavel Ivanovich 2 Pastor, Ademir 2 Ren, Jiajia 2 Schippa, Robert 2 Toprak, Ebru 2 Wang, Chengbo 2 Xu, Shaopeng 1 Aloui, Lassaad 1 Alouini, Brahim 1 Başakoğlu, Engin 1 Binhua, Feng 1 Cayama, Jorge 1 Chen, Mingjuan 1 Csobo, Elek 1 Cuesta Romero, Carlota Maria 1 de la Hoz, Francisco 1 Di, Huafei 1 Erdoğan, Mehmet Burak 1 Esfahani, Amin 1 Forcella, Luigi 1 Georgiev, Vladimir S. 1 Guo, Cuihua 1 Hamano, Masaru 1 Hezzi, Hanene 1 Hidano, Kunio 1 Hong, Seokchang 1 Huang, Xiaoqi 1 Inui, Takahisa 1 Kishimoto, Nobu 1 Li, Kelin 1 Li, Miao 1 Li, Xinfu 1 Lin, Yuan 1 Liu, Mengyun 1 Liu, Weiming 1 Liu, Xu 1 Luo, Yong 1 Masaki, Satoshi 1 Mendez Navarro, Jesus A. 1 Miyazaki, Hayato 1 Mukherjee, Debangana 1 Murphy, Jason 1 Nguyen Phuoc Tai 1 Nishimura, Kuranosuke 1 Niu, Huiling 1 Noguera, Norman 1 Özsarı, Türker 1 Peng, Congming 1 Phan Thành Nam 1 Ramadan, Abba I. 1 Sánchez-Suárez, Isahi 1 Saut, Jean-Claude 1 Sire, Yannick 1 Stefanov, Atanas G. 1 Su, Hailing 1 Su, Xiaoyan 1 Suzuki, Toshiyuki 1 Tayachi, Slim 1 Wang, Yile 1 Wang, Yongbin 1 Wang, Yuexun 1 Yang, Qixiang 1 Yang, Tao 1 Yolcu, Nermin 1 Zhang, Binlin 1 Zhang, Cheng 1 Zhang, Shu 1 Zhao, Junying 1 Zhao, Shiliang 1 Zhou, Jun 1 Zhu, Shihui
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### Cited in 42 Serials

 9 Journal of Mathematical Physics 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Journal of Differential Equations 6 Communications on Pure and Applied Analysis 4 Journal of Functional Analysis 3 Acta Applicandae Mathematicae 3 Journal of Dynamics and Differential Equations 3 NoDEA. Nonlinear Differential Equations and Applications 3 Discrete and Continuous Dynamical Systems 3 Nonlinear Analysis. Real World Applications 3 Journal of Evolution Equations 3 Discrete and Continuous Dynamical Systems. Series S 3 AIMS Mathematics 2 Journal of Mathematical Analysis and Applications 2 Physica D 2 Calculus of Variations and Partial Differential Equations 2 SN Partial Differential Equations and Applications 1 Computers & Mathematics with Applications 1 Nonlinearity 1 Zeitschrift für Analysis und ihre Anwendungen 1 Bulletin of the Korean Mathematical Society 1 Applied Numerical Mathematics 1 International Journal of Mathematics 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Topological Methods in Nonlinear Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Selecta Mathematica. New Series 1 Annales Henri Poincaré 1 Discrete and Continuous Dynamical Systems. Series B 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of Hyperbolic Differential Equations 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 Boundary Value Problems 1 Complex Variables and Elliptic Equations 1 Evolution Equations and Control Theory 1 Advances in Nonlinear Analysis 1 Electronic Research Archive
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### Cited in 16 Fields

 96 Partial differential equations (35-XX) 6 Potential theory (31-XX) 6 Optics, electromagnetic theory (78-XX) 6 Quantum theory (81-XX) 4 Real functions (26-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 2 Fluid mechanics (76-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX)