带有边界阻尼项和源项的非线性波方程

Global Existence and Blow-up Solution for a Nonlinear Wave Equation with Boundary Damping and Interior Source

文章利用能量法研究带有边界阻尼和源项的非线性波方程,并且得到负初始能量时非线性波方程的解爆破的充分条件.

We study global existence and blow-up of solutions for a nonlinear wave equa- tions with boundary damping and interior source terms. By using Energy method, we obtained the sufficient conditions for blow-up of solutions for nonlinear wave equation with negative initial en-ergy and the global existence.