Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Pedro Isaza"'
Autor:
Pedro Isaza
Publikováno v:
Electronic Journal of Differential Equations, Vol 2013, Iss 246,, Pp 1-25 (2013)
In this article we consider the problem of unique continuation for high-order equations of Korteweg-de Vries type which include the kdV hierarchy. It is proved that if the difference w of two solutions of an equation of this form has certain expo
Externí odkaz:
https://doaj.org/article/cf5bac913f644bfcba4ca85b1889db8d
Autor:
Pedro Isaza J., Jorge Mejia L.
Publikováno v:
Electronic Journal of Differential Equations, Vol 2003, Iss 68, Pp 1-12 (2003)
It is proved that the Cauchy problem for the Kadomtsev-Petviashvili equation (KPII) is globally well-posed for initial data in anisotropic Sobolev spaces $H^{s0}(mathbb{R}^2)$ with $s>-1/14$. The extension of a local solution to a solution in an arbi
Externí odkaz:
https://doaj.org/article/36d4c7e72eb6455d9573674c12015c0d
Autor:
Carlos A. León, Pedro Isaza
Publikováno v:
Journal of Differential Equations. 263:5189-5215
We consider the Cauchy problem associated to the Korteweg–de Vries equation (KdV) and study the preservation of exponential decay of order 3/2 on the right of the x-axis as time evolves. More precisely, for a solution of the equation which decays a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::39d797f5787d95185e6f178c21881dcf
https://doi.org/10.1016/j.jde.2017.06.013
https://doi.org/10.1016/j.jde.2017.06.013
Publikováno v:
Journal of Functional Analysis. 270(3):976-1000
We shall deduce some special regularity properties of solutions to the IVP associated to the Benjamin–Ono equation. Mainly, for datum u 0 ∈ H 3 / 2 ( R ) whose restriction belongs to H m ( ( b , ∞ ) ) for some m ∈ Z + , m ≥ 2 , and b ∈ R
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f248f4f0d90661c21633eaf57c255d4d
Publikováno v:
SIAM Journal on Mathematical Analysis. 48:1006-1024
We shall deduce some special regularity properties of solutions to the IVP associated to the Kadomtsev--Petviashvili equation. Mainly, for datum $u_0\in X_s(\mathbb{R}^2)$, $s>2$ (see (1.2) below) whose restriction belongs to $H^m((x_0,\infty)\times\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5dbeb30446b37e55e28e3fc76f551db0
https://doi.org/10.1137/15m1012098
https://doi.org/10.1137/15m1012098
Publikováno v:
Journal of Differential Equations. 258:764-795
We consider the initial value problem associated to a large class of fifth order nonlinear dispersive equations. This class includes several models arising in the study of different physical phenomena. Our aim is to establish special (space) decay pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4a328788a58dc14b90a2c5b8eedb3922
https://doi.org/10.1016/j.jde.2014.10.004
https://doi.org/10.1016/j.jde.2014.10.004
Publikováno v:
Communications in Partial Differential Equations. 40:1336-1364
We study special regularity and decay properties of solutions to the IVP associated to the k-generalized KdV equations. In particular, for datum u 0 ∈ H 3/4+ (ℝ) whose restriction belongs to H l ((b, ∞)) for some l ∈ ℤ+ and b ∈ ℝ we pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9cbe80f4124bf416af9e5d8b84128e4d
https://doi.org/10.1080/03605302.2014.985794
https://doi.org/10.1080/03605302.2014.985794
Autor:
Pedro Isaza
Publikováno v:
Journal of Differential Equations. 255:796-811
In this article we prove that if the difference of two solutions of the Ostrovsky equation with negative dispersion, ∂ t u + ∂ x 3 u − ∂ x u + u ∂ x u = 0 , has certain exponential decay for x > 0 at two different times, then both solutions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6d5deda37d518f9919fc6c3dde0a2dfc
https://doi.org/10.1016/j.jde.2013.04.034
https://doi.org/10.1016/j.jde.2013.04.034
Publikováno v:
Journal of Functional Analysis. 264:2529-2549
We prove that if the difference of two sufficiently smooth solutions of the Zakharov–Kuznetsov equation ∂ t u + ∂ x 3 u + ∂ x ∂ y 2 u + u ∂ x u = 0 , ( x , y ) ∈ R 2 , t ∈ [ 0 , 1 ] , decays as e − a ( x 2 + y 2 ) 3 / 4 at two diffe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::46ec0b2586c5f09b579e2d12295af6fa
https://doi.org/10.1016/j.jfa.2013.03.003
https://doi.org/10.1016/j.jfa.2013.03.003
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 75:5523-5540
In this article we prove that if the difference of two sufficiently smooth solutions of the Ostrovsky equation with positive dispersion ∂ t u + ∂ x 3 u + ∂ x − 1 u + u ∂ x u = 0 , has certain exponential decay for x > 0 , at two different t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::512c61b99ad413d67f2b79e148988526
https://doi.org/10.1016/j.na.2012.05.001
https://doi.org/10.1016/j.na.2012.05.001