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Muñoz, Claudio

  1. Soliton dynamics for the 1D NLKG equation with symmetry and in the absence of internal modes
    2019/03/29 by Kowalczyk, Michal, Martel, Yvan, Muñoz, Claudio · 5 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Pattern Formation and Solitons (nlin.PS)
  2. On the long time behavior of solutions to the Intermediate Long Wave\n equation
    2019/10/09 by Claudio Muñoz, Muñoz, Claudio, Gustavo Ponce +3 · 3 citations
    Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Waves and Solitons
  3. On local energy decay for large solutions of the Zakharov-Kuznetsov\n equation
    2020/07/09 by Argenis J. Méndez, Méndez, Argenis, Claudio Muñoz +5 · 3 citations
    Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Waves and Solitons #Nonlinear Photonic Systems
  4. A sufficient condition for asymptotic stability of kinks in general (1+1)-scalar field models
    2020/08/04 by Kowalczyk, Michał, Martel, Yvan, Muñoz, Claudio +1 · 3 citations
    #35B40 #35L71 #37K40 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
  5. Asymptotic dynamics for the small data weakly dispersive one-dimensional Hamiltonian ABCD system
    2019/02/01 by Kwak, Chulkwang, Muñoz, Claudio · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  6. Multi-solitons for nonlinear Klein-Gordon equations
    2012/10/30 by Côte, Raphaël, Muñoz, Claudio · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
  7. Dispersive estimates for rational symbols and local well-posedness of the nonzero energy NV equation. II
    2016/03/21 by Kazeykina, Anna, Muñoz, Claudio · 1 citation
    #Analysis of PDEs (math.AP) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
  8. Long time asymptotics of large data in the Kadomtsev-Petviashvili models
    2021/01/22 by Mendez, Argenis J., Muñoz, Claudio, Poblete, Felipe +1 · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
  9. The Calderón problem for quasilinear elliptic equations
    2018/06/25 by Muñoz, Claudio, Uhlmann, Gunther · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  10. On the dynamics of zero-speed solutions for Camassa-Holm type equations
    2018/10/22 by Alejo, Miguel A., Cortez, Manuel F., Kwak, Chulkwang +1 · 1 citation
    #Analysis of PDEs (math.AP) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
  11. The Generalized Riemann Zeta heat flow
    2024/02/15 by Castillo, Víctor, Muñoz, Claudio, Poblete, Felipe +1 · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  12. Error bounds for Physics Informed Neural Networks in Nonlinear Schrödinger equations placed on unbounded domains
    2024/09/26 by Alejo, Miguel Á., Cossetti, Lucrezia, Fanelli, Luca +2 · 2 citations
    #65M99 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA) #Primary 65K10 #Secondary: 68T07
  13. The Calderón's problem via DeepONets
    2022/12/17 by Javier Castro, Claudio Muñoz, Castro, Javier +3 · 1 citation
    Earth and Planetary Sciences · Mathematics · Computer Science · #Geophysical and Geoelectrical Methods #Numerical methods in inverse problems #Stochastic Gradient Optimization Techniques
  14. Decay of solutions of nonlinear Dirac equations
    2025/03/07 by Herr, Sebastian, Maulén, Christopher, Muñoz, Claudio · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  15. Stability of KdV solitons on the half-line
    2017/07/09 by Cavalcante, Márcio, Muñoz, Claudio · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  16. On the asymptotic behavior of solutions to the Benjamin-Ono equation
    2018/10/04 by Muñoz, Claudio, Ponce, Gustavo · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  17. Bounds on the approximation error for deep neural networks applied to dispersive models: Nonlinear waves
    2024/05/22 by Muñoz, Claudio, Valenzuela, Nicolás · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA) #Probability (math.PR)
  18. Uniqueness of quasimonochromatic breathers for the generalized Korteweg-de Vries and Zakharov-Kuznetsov models
    2024/04/13 by Jorge Faya, Faya, Jorge, Pablo Figueroa +5 · 1 citation
    Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons