论文标题
全球解决方案不存在与非线性合并性的通用三角形方程
Nonexistence of global solutions for generalized Tricomi equations with combined nonlinearity
论文作者
论文摘要
在本文中，我们研究了具有联合非线性的半线性广义三角形方程的局部溶液的爆破动力学。结果，与具有衍生物类型的功率非线性或非线性的相应半线性模型相比，我们扩大了爆炸区域。我们的方法基于一个迭代论点，以建立本地解决方案的空间平均值的下限估计。最后，我们获得了局部解决方案寿命的上限估计，作为我们迭代论点的副产品。
In the present paper, we investigate the blow-up dynamics for local solutions to the semilinear generalized Tricomi equation with combined nonlinearity. As a result, we enlarge the blow-up region in comparison to the ones for the corresponding semilinear models with either power nonlinearity or nonlinearity of derivative type. Our approach is based on an iteration argument to establish lower bound estimates for the space average of local solutions. Finally, we obtain upper bound estimates for the lifespan of local solutions as byproduct of our iteration argument.
