F. White

most citedPropagation of Global Analytic Singularities for Schrödinger Equations with Quadratic Hamiltonians

3 citations · 3 across the 2 of their papers we have counts for

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math.AP2021

$L^{p}$ -bounds for eigenfunctions of analytic non-self-adjoint operators with double characteristics

Francis White

We prove sharp uniform $L^{p}$ -bounds for low-lying eigenfunctions of non-self-adjoint semiclassical pseudodifferential operators $P$ on $R^{n}$ whose principal symbols are…

math.AP2021

$L^{p}$ -bounds for semigroups generated by non-elliptic quadratic differential operators

Francis White

In this note, we establish $L^{p}$ -bounds for the semigroup $e^{- t q^{w} (x, D)}$ , $t \geq 0$ , generated by a quadratic differential operator $q^{w} (x, D)$ on $R^{n}$ that is the Weyl…

math.AP2021★ 3 cited

Propagation of Global Analytic Singularities for Schrödinger Equations with Quadratic Hamiltonians

Francis White

We study the propagation in time of $1/2$ -Gelfand-Shilov singularities, i.e. global analytic singularities, of tempered distributional solutions of the initial value problem \begin…

Lp-bounds for eigenfunctions of analytic non-self-adjoint operators with double characteristics

Lp-bounds for semigroups generated by non-elliptic quadratic differential operators

Propagation of Global Analytic Singularities for Schrödinger Equations with Quadratic Hamiltonians

$L^{p}$ -bounds for eigenfunctions of analytic non-self-adjoint operators with double characteristics

$L^{p}$ -bounds for semigroups generated by non-elliptic quadratic differential operators