Browsing Linear and NonLinear Waves by Author "Ponce, G."
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Hardy uncertainty principle, convexity and parabolic evolutions
Escauriaza, L.; Kenig, C.E.; Ponce, G.; Vega, L. (20160901)We give a new proof of the $L^2$ version of Hardy’s uncertainty principle based on calculus and on its dynamical version for the heat equation. The reasonings rely on new logconvexity properties and the derivation of ... 
On the regularity of solutions to the kgeneralized kortewegde vries equation
Kenig, C.E.; Linares, F.; Ponce, G.; Vega, L. (201807)This work is concerned with special regularity properties of solutions to the kgeneralized Kortewegde Vries equation. In [Comm. Partial Differential Equations 40 (2015), 1336–1364] it was established that if the initial ... 
On the regularity of solutions to the kgeneralized kortewegde vries equation
Kenig, C. E.; Linares, F.; Ponce, G.; Vega, L. (20180101)This work is concerned with special regularity properties of solutions to the kgeneralized Kortewegde Vries equation. In [Comm. Partial Differential Equations 40 (2015), 1336–1364] it was established that if the initial ... 
On the unique continuation of solutions to nonlocal nonlinear dispersive equations
Kenig, C. E.; Pilod, D.; Ponce, G.; Vega, L. (20200802)We prove unique continuation properties of solutions to a large class of nonlinear, nonlocal dispersive equations. The goal is to show that if (Formula presented.) are two suitable solutions of the equation defined in ... 
Uniqueness properties of solutions to the BenjaminOno equation and related models
Kenig, C. E.; Ponce, G.; Vega, L. (20200315)We prove that if u1,u2 are real solutions of the BenjaminOno equation defined in (x,t)∈R×[0,T] which agree in an open set Ω⊂R×[0,T], then u1≡u2. We extend this uniqueness result to a general class of equations of BenjaminOno ... 
Uniqueness Properties of Solutions to the BenjaminOno equation and related models
Kenig, C.E.; Ponce, G.; Vega, L. (20190131)We prove that if u1, u2 are solutions of the Benjamin Ono equation defined in (x, t) ∈ R × [0, T ] which agree in an open set Ω ⊂ R × [0,T], then u1 ≡ u2. We extend this uniqueness result to a general class of equations ...