Existence and asymptotic expansion of solutions to a nonlinear wave equation with a memory condition at the boundary
---Publisher, magazine: ,
Publication year: 2007
Lưu Trích dẫn Chia sẻAbstract
We study the initial boundary value problems for the non-lineal wave equation where given constants and are given functions. The unknown function and the unknown boundary value satisfy the linear integral equation where are given functions satisfying some properties stated in next section. This paper consists of 2 main sections. First, we prove the existence and uniqueness for the solutions in a suitable function space. Then, for the cases we find an asymptotic expansion of solution up to order N+1
Tags: Nonlinear wave equation; linear integral equation; existence and uniqueness; asymptotic expansion
Các bài viết liên quan đến tác giả Nguyễn Thành Long
Investment optimization under constraints
Nonhomogeneous heat equation: identification and regularization for the inhomogeneous term
On a shock problem involving a linear viscoelastic bar
A mathematical model for the evaporation of a liquid fuel droplet, subject to nonlinear constraints
Mathematical model for a shock problem involving a linear viscoelastic bar