2 problems

Let $K$ be a $\mathfrak{p}$-adic field, and let … be a system of forms in $n$ variables ${\bf x}=(x_1,\ldots,x_n)$, where $F_i$ has degree $d_i$. A zero is non-trivial if…

Let $P$ be a scalar classical pseudodifferential operator of principal type on a smooth manifold $X$, with principal symbol $p$. Condition $({\Psi})$ means that, for every…