Logotipo ImpactU
Autor

Lower regularity solutions of a class of non-homogeneous boundary value problems of the Korteweg-de Vries equation on a finite domain

Acceso Cerrado
ID Minciencias: ART-0000281506-6
Ranking: ART-ART_A2

Abstract:

In this paper, we study an initial-boundary value problem of the Korteweg-de Vries equation posed on a bounded interval $(0,L)$ with nonhomogeneous boundary conditions, which is known to be locally well-posed in the Sobolev space $H^s(0,L)$ with $s\gt-3/4$. Taking the advantage of the hidden dissipative mechanism and the sharp trace regularities of its solutions, we show that the problem is locally well-posed in the space $H^s(0,L)$ with $s\gt-1$.

Tópico:

Advanced Mathematical Physics Problems

Citaciones:

Citations: 6
6

Citaciones por año:

Altmétricas:

Paperbuzz Score: 0
0

Información de la Fuente:

SCImago Journal & Country Rank
FuenteAdvances in Differential Equations
Cuartil año de publicaciónNo disponible
Volumen19
Issue5/6
PáginasNo disponible
pISSNNo disponible
ISSN1079-9389

Enlaces e Identificadores:

Minciencias IDART-0000281506-6Scienti ID0000281506-6Scienti ID0000281506-7
Openalex URLhttps://openalex.org/W1527236717Doi URLhttps://doi.org/10.57262/ade/1396558061
Artículo de revista