Friedmann-Lemaitre-Robertson-Walker时空中半线性wave equations解的类热寿命
On heatlike lifespan of solutions of semilinear wave equations in Friedmann-Lemaître-Robertson-Walker spacetime
摘要：
考虑空间平坦的Friedmann-Lemaitre-Robertson-Walker时空中具有自相互作用的无质量标量场的非线性波动方程。我们对待所谓的热的情况下，临界指数的藤田指数的影响。通过区分亚临界和临界情形，给出了爆破解的寿命的上界。
英文摘要：
Consider a nonlinear wave equation for a massless scalar field with self-interaction in the spatially flat Friedmann-Lemaître-Robertson-Walker spacetimes. We treat the so-called heatlike case where the critical exponent is affected by the Fujita exponent. We show upper bounds of the lifespan of blow-up solutions by distinguishing subcritical and critical cases.
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