| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4621487 | Journal of Mathematical Analysis and Applications | 2008 | 14 Pages |
Abstract
We study formal power series solutions to the initial value problem for semilinear heat equation ∂tu−Δu=f(u) with polynomial nonlinearity f and prove that they belong to the formal Gevrey class G2. Next we give counterexamples showing that the solution, in general, is not analytic in time at t=0.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
