## Muñoz, Claudio

Compute Distance To:
 Author ID: munoz.claudio Published as: Muñoz, Claudio; Munoz, Claudio External Links: MGP
 Documents Indexed: 47 Publications since 2001 Co-Authors: 24 Co-Authors with 33 Joint Publications 520 Co-Co-Authors
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### Co-Authors

 11 single-authored 10 Alejo, Miguel A. 5 Kowalczyk, Michał 5 Martel, Yvan 4 Kwak, Chulkwang 3 Palacios, José Manuel 3 Poblete, Felipe 3 Ponce, Gustavo 3 Pozo, Juan Carlos 2 Côte, Raphaël 2 Fanelli, Luca 2 Kazeykina, Anna 1 Brignole, Andrea 1 Cavalcante, Márcio André Araújo 1 Cerdeño, David G. 1 Clapp, Mónica 1 Cortez, Manuel Fernando 1 Del Pino, Manuel A. 1 Gabrielli, Emidio 1 Ibáñez, Luis E. 1 López-Fogliani, Daniel E. 1 Maulén, Christopher 1 Mendez, Argenis J. 1 Musso, Monica 1 Pilod, Didier 1 Saut, Jean-Claude 1 Simpson, Gideon 1 Torrente-Lujan, Emilio 1 Uhlmann, Gunther Alberto 1 Van Den Bosch, Hanne 1 Vega, Luis
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### Serials

 4 Communications in Mathematical Physics 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of Differential Equations 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 IMRN. International Mathematics Research Notices 2 SIAM Journal on Mathematical Analysis 2 Analysis & PDE 2 Séminaire Laurent Schwartz. EDP et Applications 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Analysis and Applications 1 Letters in Mathematical Physics 1 Nonlinearity 1 Nuclear Physics. B 1 Physics Letters. B 1 Journal of Functional Analysis 1 Mathematische Annalen 1 SIAM Journal on Control and Optimization 1 Theoretical Computer Science 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Electronic Journal of Differential Equations (EJDE) 1 Advances in Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Journal of the European Mathematical Society (JEMS) 1 Proyecciones 1 Journal of Physics A: Mathematical and Theoretical 1 São Paulo Journal of Mathematical Sciences 1 Forum of Mathematics, Sigma 1 Annals of PDE 1 SN Partial Differential Equations and Applications
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### Fields

 43 Partial differential equations (35-XX) 20 Dynamical systems and ergodic theory (37-XX) 3 Quantum theory (81-XX) 2 Fluid mechanics (76-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

40 Publications have been cited 343 times in 175 Documents Cited by Year
Kink dynamics in the $$\phi^4$$ model: asymptotic stability for odd perturbations in the energy space. Zbl 1387.35419
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio
2017
Nonlinear stability of MKdV breathers. Zbl 1280.35123
Alejo, Miguel A.; Muñoz, Claudio
2013
Multi-solitons for nonlinear Klein-Gordon equations. Zbl 1301.35126
Côte, Raphaël; Muñoz, Claudio
2014
Asymptotic stability of high-dimensional Zakharov-Kuznetsov solitons. Zbl 1334.35276
Côte, Raphaël; Muñoz, Claudio; Pilod, Didier; Simpson, Gideon
2016
Nonexistence of small, odd breathers for a class of nonlinear wave equations. Zbl 1384.35109
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio
2017
The gardner equation and the $$L^2$$-stability of the $$N$$-soliton solution of the Korteweg-de Vries equation. Zbl 1278.35209
Alejo, Miguel A.; Muñoz, Claudio; Vega, Luis
2013
Dynamics of complex-valued modified KdV solitons with applications to the stability of breathers. Zbl 1323.35156
Alejo, Miguel A.; Muñoz, Claudio
2015
The two-dimensional Lazer-McKenna conjecture for an exponential nonlinearity. Zbl 1159.35372
del Pino, Manuel; Muñoz, Claudio
2006
The scattering problem for Hamiltonian ABCD Boussinesq systems in the energy space. Zbl 1421.35280
Kwak, Chulkwang; Muñoz, Claudio; Poblete, Felipe; Pozo, Juan C.
2019
Breathers and the dynamics of solutions in KdV type equations. Zbl 1427.76044
Muñoz, Claudio; Ponce, Gustavo
2019
On the variational structure of breather solutions. I: Sine-Gordon equation. Zbl 1366.65102
Alejo, Miguel A.; Muñoz, Claudio; Palacios, José M.
2017
Scattering in the energy space for Boussinesq equations. Zbl 1398.35203
Muñoz, Claudio; Poblete, Felipe; Pozo, Juan C.
2018
Stability of integrable and nonintegrable structures. Zbl 1298.35165
Muñoz, Claudio
2014
Almost sharp nonlinear scattering in one-dimensional Born-Infeld equations arising in nonlinear electrodynamics. Zbl 1384.37095
Alejo, Miguel A.; Muñoz, Claudio
2018
On the inelastic two-soliton collision for gKdV equations with general nonlinearity. Zbl 1198.35234
Muñoz, Claudio
2010
On the variational structure of breather solutions. II: Periodic mKdV equation. Zbl 1379.35271
Alejo, Miguel A.; Munoz, Claudio; Palacios, Jose M.
2017
Soft supersymmetry-breaking terms from supergravity and superstring models. Zbl 1202.81107
Brignole, A.; Ibáñez, L. E.; Muñoz, C.
2010
On the nonlinear stability of mKdV breathers. Zbl 1257.37045
Alejo, Miguel A.; Muñoz, Claudio
2012
On the asymptotic behavior of solutions to the Benjamin-Ono equation. Zbl 1428.37069
Muñoz, Claudio; Ponce, Gustavo
2019
Instability in nonlinear Schrödinger breathers. Zbl 1391.35358
Muñoz, Claudio
2017
Asymptotic dynamics for the small data weakly dispersive one-dimensional Hamiltonian ABCD system. Zbl 1434.35102
Kwak, Chulkwang; Muñoz, Claudio
2020
The Calderón problem for quasilinear elliptic equations. Zbl 1457.35093
Muñoz, Claudio; Uhlmann, Gunther
2020
On the solitary wave dynamics, under slowly varying medium, for nonlinear Schrödinger equations. Zbl 1291.35264
Muñoz, Claudio
2012
Singular limits for the bi-Laplacian operator with exponential nonlinearity in $$\mathbb R^4$$. Zbl 1155.35041
Clapp, Mónica; Muñoz, Claudio; Musso, Monica
2008
Nonlinear stability of 2-solitons of the sine-Gordon equation in the energy space. Zbl 1420.35163
Muñoz, Claudio; Palacios, José M.
2019
Dispersive estimates for rational symbols and local well-posedness of the nonzero energy NV equation. Zbl 1353.35129
Kazeykina, Anna; Muñoz, Claudio
2016
Dynamics of soliton-like solutions for slowly varying, generalized KdV equations: refraction versus reflection. Zbl 1237.35134
Muñoz, Claudio
2012
Soliton dynamics for generalized KdV equations in a slowly varying medium. Zbl 1264.35188
Muñoz, Claudio
2011
The Akhmediev breather is unstable. Zbl 1431.35163
Alejo, Miguel A.; Fanelli, Luca; Muñoz, Claudio
2019
The Gardner equation and the stability of multi-kink solutions of the mKdV equation. Zbl 1336.35313
Muñoz, Claudio
2016
On the long time behavior of solutions to the intermediate long wave equation. Zbl 1475.37079
Muñoz, Claudio; Ponce, Gustavo; Saut, Jean-Claude
2021
A sufficient condition for asymptotic stability of kinks in general (1+1)-scalar field models. Zbl 1469.35150
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio; Van Den Bosch, Hanne
2021
Dispersive estimates for rational symbols and local well-posedness of the nonzero energy NV equation. II. Zbl 1383.35057
Kazeykina, Anna; Muñoz, Claudio
2018
Extended decay properties for generalized BBM equation. Zbl 1442.35383
Kwak, Chulkwang; Muñoz, Claudio
2019
Determination of the string scale in D-brane scenarios and dark matter implications. Zbl 0983.81072
Cerdeño, D. G.; Gabrielli, E.; Khalil, S.; Muñoz, C.; Torrente-Lujan, E.
2001
Inelastic character of solitons of slowly varying gKdV equations. Zbl 1308.35253
Muñoz, Claudio
2012
Stability of KdV solitons on the half-line. Zbl 07144983
Cavalcante, Márcio; Muñoz, Claudio
2019
On a reinterpretation of the Higgs field in supersymmetry and a proposal for new quarks. Zbl 1372.81168
López-Fogliani, D. E.; Muñoz, C.
2017
Decay in the one dimensional generalized improved Boussinesq equation. Zbl 1451.35133
Maulén, Christopher; Muñoz, Claudio
2020
On local energy decay for large solutions of the Zakharov-Kuznetsov equation. Zbl 1477.35224
Mendez, Argenis J.; Muñoz, Claudio; Poblete, Felipe; Pozo, Juan C.
2021
On the long time behavior of solutions to the intermediate long wave equation. Zbl 1475.37079
Muñoz, Claudio; Ponce, Gustavo; Saut, Jean-Claude
2021
A sufficient condition for asymptotic stability of kinks in general (1+1)-scalar field models. Zbl 1469.35150
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio; Van Den Bosch, Hanne
2021
On local energy decay for large solutions of the Zakharov-Kuznetsov equation. Zbl 1477.35224
Mendez, Argenis J.; Muñoz, Claudio; Poblete, Felipe; Pozo, Juan C.
2021
Asymptotic dynamics for the small data weakly dispersive one-dimensional Hamiltonian ABCD system. Zbl 1434.35102
Kwak, Chulkwang; Muñoz, Claudio
2020
The Calderón problem for quasilinear elliptic equations. Zbl 1457.35093
Muñoz, Claudio; Uhlmann, Gunther
2020
Decay in the one dimensional generalized improved Boussinesq equation. Zbl 1451.35133
Maulén, Christopher; Muñoz, Claudio
2020
The scattering problem for Hamiltonian ABCD Boussinesq systems in the energy space. Zbl 1421.35280
Kwak, Chulkwang; Muñoz, Claudio; Poblete, Felipe; Pozo, Juan C.
2019
Breathers and the dynamics of solutions in KdV type equations. Zbl 1427.76044
Muñoz, Claudio; Ponce, Gustavo
2019
On the asymptotic behavior of solutions to the Benjamin-Ono equation. Zbl 1428.37069
Muñoz, Claudio; Ponce, Gustavo
2019
Nonlinear stability of 2-solitons of the sine-Gordon equation in the energy space. Zbl 1420.35163
Muñoz, Claudio; Palacios, José M.
2019
The Akhmediev breather is unstable. Zbl 1431.35163
Alejo, Miguel A.; Fanelli, Luca; Muñoz, Claudio
2019
Extended decay properties for generalized BBM equation. Zbl 1442.35383
Kwak, Chulkwang; Muñoz, Claudio
2019
Stability of KdV solitons on the half-line. Zbl 07144983
Cavalcante, Márcio; Muñoz, Claudio
2019
Scattering in the energy space for Boussinesq equations. Zbl 1398.35203
Muñoz, Claudio; Poblete, Felipe; Pozo, Juan C.
2018
Almost sharp nonlinear scattering in one-dimensional Born-Infeld equations arising in nonlinear electrodynamics. Zbl 1384.37095
Alejo, Miguel A.; Muñoz, Claudio
2018
Dispersive estimates for rational symbols and local well-posedness of the nonzero energy NV equation. II. Zbl 1383.35057
Kazeykina, Anna; Muñoz, Claudio
2018
Kink dynamics in the $$\phi^4$$ model: asymptotic stability for odd perturbations in the energy space. Zbl 1387.35419
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio
2017
Nonexistence of small, odd breathers for a class of nonlinear wave equations. Zbl 1384.35109
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio
2017
On the variational structure of breather solutions. I: Sine-Gordon equation. Zbl 1366.65102
Alejo, Miguel A.; Muñoz, Claudio; Palacios, José M.
2017
On the variational structure of breather solutions. II: Periodic mKdV equation. Zbl 1379.35271
Alejo, Miguel A.; Munoz, Claudio; Palacios, Jose M.
2017
Instability in nonlinear Schrödinger breathers. Zbl 1391.35358
Muñoz, Claudio
2017
On a reinterpretation of the Higgs field in supersymmetry and a proposal for new quarks. Zbl 1372.81168
López-Fogliani, D. E.; Muñoz, C.
2017
Asymptotic stability of high-dimensional Zakharov-Kuznetsov solitons. Zbl 1334.35276
Côte, Raphaël; Muñoz, Claudio; Pilod, Didier; Simpson, Gideon
2016
Dispersive estimates for rational symbols and local well-posedness of the nonzero energy NV equation. Zbl 1353.35129
Kazeykina, Anna; Muñoz, Claudio
2016
The Gardner equation and the stability of multi-kink solutions of the mKdV equation. Zbl 1336.35313
Muñoz, Claudio
2016
Dynamics of complex-valued modified KdV solitons with applications to the stability of breathers. Zbl 1323.35156
Alejo, Miguel A.; Muñoz, Claudio
2015
Multi-solitons for nonlinear Klein-Gordon equations. Zbl 1301.35126
Côte, Raphaël; Muñoz, Claudio
2014
Stability of integrable and nonintegrable structures. Zbl 1298.35165
Muñoz, Claudio
2014
Nonlinear stability of MKdV breathers. Zbl 1280.35123
Alejo, Miguel A.; Muñoz, Claudio
2013
The gardner equation and the $$L^2$$-stability of the $$N$$-soliton solution of the Korteweg-de Vries equation. Zbl 1278.35209
Alejo, Miguel A.; Muñoz, Claudio; Vega, Luis
2013
On the nonlinear stability of mKdV breathers. Zbl 1257.37045
Alejo, Miguel A.; Muñoz, Claudio
2012
On the solitary wave dynamics, under slowly varying medium, for nonlinear Schrödinger equations. Zbl 1291.35264
Muñoz, Claudio
2012
Dynamics of soliton-like solutions for slowly varying, generalized KdV equations: refraction versus reflection. Zbl 1237.35134
Muñoz, Claudio
2012
Inelastic character of solitons of slowly varying gKdV equations. Zbl 1308.35253
Muñoz, Claudio
2012
Soliton dynamics for generalized KdV equations in a slowly varying medium. Zbl 1264.35188
Muñoz, Claudio
2011
On the inelastic two-soliton collision for gKdV equations with general nonlinearity. Zbl 1198.35234
Muñoz, Claudio
2010
Soft supersymmetry-breaking terms from supergravity and superstring models. Zbl 1202.81107
Brignole, A.; Ibáñez, L. E.; Muñoz, C.
2010
Singular limits for the bi-Laplacian operator with exponential nonlinearity in $$\mathbb R^4$$. Zbl 1155.35041
Clapp, Mónica; Muñoz, Claudio; Musso, Monica
2008
The two-dimensional Lazer-McKenna conjecture for an exponential nonlinearity. Zbl 1159.35372
del Pino, Manuel; Muñoz, Claudio
2006
Determination of the string scale in D-brane scenarios and dark matter implications. Zbl 0983.81072
Cerdeño, D. G.; Gabrielli, E.; Khalil, S.; Muñoz, C.; Torrente-Lujan, E.
2001
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### Cited by 194 Authors

 29 Muñoz, Claudio 11 Martel, Yvan 10 Alejo, Miguel A. 7 Saut, Jean-Claude 7 Yuan, Xu 6 Côte, Raphaël 6 Pelinovsky, Dmitry Efimovich 5 Jendrej, Jacek 5 Kowalczyk, Michał 5 Pilod, Didier 5 Ponce, Gustavo 4 Chen, Gong 4 Cuccagna, Scipio 4 Klein, Christian 4 Linares, Felipe 4 Maeda, Masaya 4 Roudenko, Svetlana 4 Soffer, Avraham 4 Tian, Lixin 4 Wang, Zhong 4 Zhang, Yibin 4 Zhang, Yingnan 3 Angulo Pava, Jaime 3 Holmer, Justin 3 Kwak, Chulkwang 3 Martínez, María E. 3 Mashkin, Timur 3 Mendez, Argenis J. 3 Merle, Frank 3 Messaoudi, Abdellatif 3 Palacios, José Manuel 3 Poblete, Felipe 3 Popov, S. P. 3 Pozo, Juan Carlos 3 Wei, Juncheng 2 Banquet Brango, Carlos 2 Baraket, Sami 2 Cârstea, Cătălin Ion 2 Cavalcante, Márcio André Araújo 2 Deng, Qingquan 2 Fanelli, Luca 2 Farah, Luiz Gustavo 2 Feizmohammadi, Ali 2 Ferriere, Guillaume 2 Friederich, Xavier 2 Kazeykina, Anna 2 Khemiri, Zied 2 Le Coz, Stefan 2 Lindblad, Hans 2 Lührmann, Jonas 2 Mahmoudi, Fethi 2 Mandel, Rainer 2 Manna, Bhakti Bhusan 2 Snelson, Stanley 2 Stoilov, Nikola M. 2 Villamizar-Roa, Elder Jesús 2 Wang, Jingqun 2 Xu, Li 2 Yamazaki, Yohei 2 Yan, Shusen 2 Yan, Weiping 2 Yang, Haitao 2 Yao, Xiaohua 2 Zhang, Katherine Zhiyuan 1 Adilkhanov, Aidos N. 1 Alammari, Mashael 1 An, Xinliang 1 Aryan, Shrey 1 Bak, Soyoon 1 Bazarbacha, Imen 1 Bellazzini, Jacopo 1 Ben Ayed, Mohamed 1 Biondini, Gino 1 Bizoń, Piotr 1 Brander, Tommi 1 Chen, Wenxia 1 Chetouane, Rima 1 Choulli, Mourad 1 Clapp, Mónica 1 Conte, Robert Maurice 1 Contreras, Andres A. 1 de Andrade, Thiago Pinguello 1 Dong, Jingyi 1 Donninger, Roland 1 Dougalis, Vassilios A. 1 Druet, Olivier 1 Dunajski, Maciej 1 Duran, Angel 1 Faminskii, Andrei V. 1 Gallay, Thierry 1 Gao, Weiwei 1 Georgiev, Vladimir S. 1 Germain, Pierre 1 Ghimenti, Marco G. 1 Glogić, Irfan 1 Grinevich, Pëtr Georgievich 1 Gu, Yongyi 1 Guo, Boling 1 Guo, Siyan 1 Guo, Yuxia ...and 94 more Authors
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### Cited in 63 Serials

 17 Nonlinearity 10 Communications in Mathematical Physics 8 Journal of Mathematical Analysis and Applications 8 Journal of Differential Equations 7 Transactions of the American Mathematical Society 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 SIAM Journal on Mathematical Analysis 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Discrete and Continuous Dynamical Systems 5 Communications in Partial Differential Equations 5 Séminaire Laurent Schwartz. EDP et Applications 4 Archive for Rational Mechanics and Analysis 4 Physica D 4 NoDEA. Nonlinear Differential Equations and Applications 4 Communications on Pure and Applied Analysis 3 Journal of Functional Analysis 3 Computational Mathematics and Mathematical Physics 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Calculus of Variations and Partial Differential Equations 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Hyperbolic Differential Equations 2 Journal of Mathematical Physics 2 Letters in Mathematical Physics 2 Theoretical and Mathematical Physics 2 Inventiones Mathematicae 2 Proceedings of the American Mathematical Society 2 Revista Matemática Iberoamericana 2 Journal of Nonlinear Science 2 Journal of Evolution Equations 2 AIMS Mathematics 2 SN Partial Differential Equations and Applications 1 Applicable Analysis 1 Physics Letters. A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Advances in Mathematics 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Quarterly of Applied Mathematics 1 Acta Applicandae Mathematicae 1 Applied Mathematics Letters 1 SIAM Journal on Applied Mathematics 1 Journal of Dynamics and Differential Equations 1 Computational and Applied Mathematics 1 Advances in Differential Equations 1 Documenta Mathematica 1 Journal of Mathematical Chemistry 1 Taiwanese Journal of Mathematics 1 Journal of Mathematical Fluid Mechanics 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Annales Henri Poincaré 1 Nonlinear Analysis. Real World Applications 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 International Journal of Geometric Methods in Modern Physics 1 Proyecciones 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 São Paulo Journal of Mathematical Sciences 1 Advances in Mathematical Physics 1 Computational Methods for Differential Equations 1 Annals of PDE 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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### Cited in 22 Fields

 172 Partial differential equations (35-XX) 49 Dynamical systems and ergodic theory (37-XX) 13 Fluid mechanics (76-XX) 9 Numerical analysis (65-XX) 7 Operator theory (47-XX) 7 Quantum theory (81-XX) 5 Optics, electromagnetic theory (78-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Relativity and gravitational theory (83-XX) 2 Ordinary differential equations (34-XX) 2 Integral transforms, operational calculus (44-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 2 Mechanics of deformable solids (74-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)