Über die Existenz von unendlich vielen periodischen Lösungen einer einfachen Temperaturregelung.
We study the Gevrey regularity down to t = 0 of solutions to the initial value problem for a semilinear heat equation . The approach is based on suitable iterative fixed point methods in based Banach spaces with anisotropic Gevrey norms with respect to the time and the space variables. We also construct explicit solutions uniformly analytic in t ≥ 0 and x ∈ ℝⁿ for some conservative nonlinear terms with symmetries.