Abstract

We study a mixed problem with nonlinear dissipative boundary conditions for systems of one-dimensional semilinear wave equations with a focusing nonlinear source that has a variable growth exponent. Theorems on the blow-up of solutions in finite time are proved.

中文翻译：

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具有边界耗散和具有可变增长级的内部非线性聚焦源的波动方程系统的混合问题解的爆破

摘要

我们研究一维半线性波动方程系统的非线性耗散边界条件的混合问题，该系统具有聚焦的非线性源，该源具有可变的增长指数。证明了有限时间内溶液爆炸的定理。