Existencia y Dependencia Continua de la Solución de la Ecuación de Onda no Homogénea en Espacios de Sobolev Periódico

Autor: Yolanda Santiago Ayala, Santiago Rojas Romero

Publikováno v: Selecciones Matemáticas, Vol 7, Iss 01, Pp 52-73 (2020)

In this article, we first prove that the initial value problem associated to the homogeneous wave equation in periodic Sobolev spaces has a global solution and the solution has continuous dependence with respect to the initial data, in [0; T], T > 0.

Externí odkaz: https://doaj.org/article/ca7201bd6a8041ac804811895e394473

On some convergence results for fractional periodic Sobolev spaces

Autor: Vincenzo Ambrosio

Publikováno v: Opuscula Mathematica, Vol 40, Iss 1, Pp 5-20 (2020)

In this note we extend the well-known limiting formulas due to Bourgain-Brezis-Mironescu and Maz'ya-Shaposhnikova, to the setting of fractional Sobolev spaces on the torus. We also give a \(\Gamma\)-convergence result in the spirit of Ponce. The main

Externí odkaz: https://doaj.org/article/5e6d6ac3e5d54966aeb10cf37391e00f

Buen Planteamiento Global de un Modelo no Lineal Tipo Burgers

Autor: Milla Garc´ıa, Luis, Santiago Ayala, Yolanda

Publikováno v: Pesquimat; Vol. 25 No. 2 (2022); 1-15
Pesquimat; Vol. 25 Núm. 2 (2022); 1-15

We study the well posedness global of the nonlinear Cauchy problem associated with the periodic one-dimensional Burgers equation in the periodic Sobolev spaces Hsper. We do this using Semigroup theory, Fourier theory on periodic distributions and inm

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=4dc99724cf04::caca06e13f61adbe52a925e6be10b1fa
https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/24334

Existence and Regularity of the Solution of Non homogeneous Schrödinger Equation in Periodic Sobolev Spaces

Autor: Yolanda Silvia Santiago Ayala, Santiago César Rojas Romero

Publikováno v: Selecciones Matemáticas; Vol. 8 Núm. 01 (2021): Enero-Julio; 37-51
Selecciones Matemáticas; Vol. 8 No. 01 (2021): January-July; 37-51
Selecciones Matemáticas; v. 8 n. 01 (2021): Janeiro-julho; 37-51
Revistas Universidad Nacional de Trujillo
Universidad Nacional de Trujillo
instacron:UNITRU

In this articlewe prove that the Cauchy problemassociated to the Schrödinger equation in periodic Sobolevspaces is well posed. We do this in an intuitiveway using Fourier theory and in a fine version using Groupstheory, inspired by works Iorio [3],

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::43927fa8a390536049c363ebf192dddd
https://doi.org/10.17268/sel.mat.2021.01.04

Existencia de solución y su comportamiento respecto a un parámetro para un modelo de ondas en un fluido viscoso

Autor: Milla Garcia, Luis, Santiago Ayala, Yolanda

Publikováno v: Pesquimat; Vol. 23 Núm. 1 (2020); 17-31
Pesquimat; Vol 23 No 1 (2020); 17-31

In this work we study the existence, uniqueness and continuous dependence of the solution of the KdV-Kuramoto-Sivashinsky homogeneous linear equation in periodic Sobolev spaces. We do this using semigroup theory and Fourier theory on periodic distrib

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=4dc99724cf04::64ec5ad0ac14a602632aaa8af790bd01
https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/18442