Global well-posedness for the exterior initial-boundary value problem to the Kirchhoff equation

スポンサーリンク

概要

• 論文の詳細を見る

• The aim of this paper is to find a general class of data in which the global well-posedness for the exterior initial-boundary value problem to the Kirchhoff equation is assured. The result obtained in the present paper will be applied to the existence of scattering states. A class of weighted Sobolev spaces will be also presented in which the global well-posedness is assured. For this purpose, the method of generalized Fourier transforms is developed for some oscillatory integral associated with this equation. The crucial point is to obtain the resolvent expansion of the minus Laplacian around the origin in C, and the differentiability of the generalized Fourier transforms.

• 2010-10-01

著者

• Matsuyama Tokio

  Department Of Mathematics Tokai University

• Matsuyama Tokio

  Department Of Mathematics Faculty Of Science Tokai University

関連論文

• Global well-posedness for the exterior initial-boundary value problem to the Kirchhoff equation
• Remarks on the behavior of solutions to the linear wave equations inunbounded domains
• L^2-BEHAVIOUR OF SOLUTIONS TO THE LINEAR HEAT AND WAVE EQUATIONS IN EXTERIOR DOMAINS
• ENERGY DECAY FOR THE WAVE EQUATIONS OF KIRCHHOFF TYPE WITH LINEAR DAMPING TERMS

スポンサーリンク