We consider a Cauchy–Dirichlet problem for a quasilinear second order parabolic equation with lower order term driven by a singular coefficient. We establish an existence result to such a problem and we describe the time behavior of the solution in the case of the infinite–time horizon.

中文翻译：

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低阶项中具有奇异系数的非线性演化问题

我们考虑由奇异系数驱动的具有低阶项的拟线性二阶抛物方程的Cauchy-Dirichlet问题。我们建立了此类问题的存在结果，并描述了在无限时间范围内解决方案的时间行为。