N. Bez

most citedHeat-flow monotonicity of Strichartz norms

5 citations · 6 across the 2 of their papers we have counts for

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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) \…