2 problems

Consider a continuous Rayleigh system $(L,\mathcal{R})$ on $TQ$, where $L$ is natural, meaning that … Here $g$ is a Riemannian metric on $Q$ and $V$ is a function on $Q$. Let…

Let $u: \mathbb{R} \times \mathbb{R}_+ \to \mathbb{R}$ solve the parabolic equation with initial data $u_0$ satisfying … where $(b_n)_{n\in\mathbb{N}}$ is strictly increasing,…