3 problems

Assume the invasion property, Hypothesis … d{mathcal{H}}(U,Urho)<+infty … . Let $\Omega(u)$ be the omega-limit set of $u$ under time translations. De Giorgi type conjecture. Every…

Let $V\in\tilde{\mathcal V}^-$ and let $\frak{f}(V)=(a_{ki})$. For ${\mathbf{x}}\in S$, write $\operatorname{supp}({\mathbf{x}})$ for its support, let ${\mathbf e}_j$ denote the…

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,…