论文标题
P-Adic Nagumo型方程的库奇问题的本地良好性
Local well-posedness of the Cauchy problem for a p-adic Nagumo-type equation
论文作者
论文摘要
我们介绍了一个新的P-Adic非线性演化方程式。我们在Sobolev型空间中为这些方程式建立了Cauchy问题的局部良好性。对于某个亚科,我们表明发生了爆炸现象,并提供了显示这种现象的数值模拟。
We introduce a new family of p-adic non-linear evolution equations. We establish the local well-posedness of the Cauchy problem for these equations in Sobolev-type spaces. For a certain subfamily, we show that the blow-up phenomenon occurs and provide numerical simulations showing this phenomenon.