Well-posedness of nonlinear wave equation with combined power-type nonlinearities -- from Wolfram Library Archive

Title

Well-posedness of nonlinear wave equation with combined power-type nonlinearities

Authors

Xu Runzhang

Xu Chuang

Liu Yang

Yu Tao

Journal / Anthology

Mathematical Methods in the Applied Sciences

Year:

2011

Volume:

Issue:

Page range:

869-895

Description

In this paper, we study the initial boundary-value problem with combined power-type nonlinearities by utilizing potential well method. We provide an algorithm to compute the depth of the potential well with the help of Mathematica, and derive the invariant subsets, global existence and blowup of solutions. Moreover, we obtain the invariant subsets, global existence and blowup of solutions for the critical case.

Subject

Unclassified

Enable JavaScript to interact with content and submit forms on Wolfram websites. Learn how »