University of Birmingham

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20022008

most citedQuantum criticality

622 citations

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4 papers · 1 filter

math.CA2008★ 5 cited

Heat-flow monotonicity of Strichartz norms

Jonathan Bennett, Neal Bez, Anthony Carbery +1

Most notably we prove that for $d = 1, 2$ the classical Strichartz norm $∥ e^{i s Δ} f ∥_{L_{s, x}^{2 + 4/ d} (R \times R^{d})}$ associated to the free Schrödinger equation i…

math.CA2008★ 1 cited

Closure properties of solutions to heat inequalities

Jonathan Bennett, Neal Bez

We prove that if $u_{1}, u_{2} : (0, \infty) \times R^{d} \to (0, \infty)$ are sufficiently well-behaved solutions to certain heat inequalities on $R^{d}$ then the function $u: (0,\infty) \…

math.CA2005★ 4 cited

On the Multilinear Restriction and Kakeya conjectures

Jonathan Bennett, Anthony Carbery, Terence Tao

We prove $d$ -linear analogues of the classical restriction and Kakeya conjectures in $R^{d}$ . Our approach involves obtaining monotonicity formulae pertaining to a certain evolution…

math.CA2005★ 1 cited

Finite bounds for Holder-Brascamp-Lieb multilinear inequalities

Jonathan Bennett, Anthony Carbery, Michael Christ +1

A criterion is established for the validity of multilinear inequalities of a class considered by Brascamp and Lieb, generalizing well-known inequalities of Holder, Young, and Loomi…