Muñoz, Claudio
- 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)
- 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
- 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
- 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)
- 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
- 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)
- 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)
- 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)
- The Calderón problem for quasilinear elliptic equations
2018/06/25 by Muñoz, Claudio, Uhlmann, Gunther · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics
- 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)
- 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
- 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
- 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
- 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
- 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
- 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
- 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)
- 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