Local and global existence of solutions to the nonlocal Whitham equation on half-line

Nakao Hayashi; Elena I. Kaikina; Reynaldo Manzo

doi:10.1016/S0362-546X(00)00173-5

Local and global existence of solutions to the nonlocal Whitham equation on half-line

Nakao Hayashi, Elena I. Kaikina, Reynaldo Manzo

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

The solutions to the initial-boundary value problem for nonlinear nonlocal Whitham equation on half-line were discussed. The dissipation of the heat equation having boundary value problem on half-line was discussed. The solution requires a direct approach based on the estimates of the Green function. The problem of the boundary data on half-line, included for its solvability and uniqueness, was studied for the first time.

Original language	English
Pages (from-to)	53-75
Number of pages	23
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	48
Issue number	1
DOIs	https://doi.org/10.1016/S0362-546X(00)00173-5
Publication status	Published - 2002 Jan
Externally published	Yes

Keywords

Boundary value problem on half-line
Dissipative equation
Large time asymptotics
Nonlocal nonlinear equation

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/S0362-546X(00)00173-5

Cite this

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abstract = "The solutions to the initial-boundary value problem for nonlinear nonlocal Whitham equation on half-line were discussed. The dissipation of the heat equation having boundary value problem on half-line was discussed. The solution requires a direct approach based on the estimates of the Green function. The problem of the boundary data on half-line, included for its solvability and uniqueness, was studied for the first time.",

keywords = "Boundary value problem on half-line, Dissipative equation, Large time asymptotics, Nonlocal nonlinear equation",

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AU - Kaikina, Elena I.

AU - Manzo, Reynaldo

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N2 - The solutions to the initial-boundary value problem for nonlinear nonlocal Whitham equation on half-line were discussed. The dissipation of the heat equation having boundary value problem on half-line was discussed. The solution requires a direct approach based on the estimates of the Green function. The problem of the boundary data on half-line, included for its solvability and uniqueness, was studied for the first time.

AB - The solutions to the initial-boundary value problem for nonlinear nonlocal Whitham equation on half-line were discussed. The dissipation of the heat equation having boundary value problem on half-line was discussed. The solution requires a direct approach based on the estimates of the Green function. The problem of the boundary data on half-line, included for its solvability and uniqueness, was studied for the first time.

KW - Boundary value problem on half-line

KW - Dissipative equation

KW - Large time asymptotics

KW - Nonlocal nonlinear equation

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Local and global existence of solutions to the nonlocal Whitham equation on half-line

Abstract

Keywords

ASJC Scopus subject areas

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