Adam S. Sikora

activity

19972026

most citedGaussian heat kernel upper bounds via Phragmén-Lindelöf theorem

181 citations · 551 across the 67 of their papers we have counts for

collaborators

Showing 2009 · math.APShow all

4 papers · 2 filters

math.AP2009★ 3 cited

Markov uniqueness of degenerate elliptic operators

Derek W. Robinson, Adam Sikora

Let $Ω$ be an open subset of $\Ri^d$ and $H_{Ω} = - \sum_{i, j = 1}^{d} \partial_{i} c_{ij} \partial_{j}$ a second-order partial differential operator on $L_{2} (Ω)$ with domain $C_{c}^{\infty} (Ω)$ wher…

math.AP2009

Riesz meets Sobolev

Thierry Coulhon, Adam Sikora

We show that the $L^{p}$ boundedness, $p > 2$ , of the Riesz transform on a complete non-compact Riemannian manifold with upper and lower Gaussian heat kernel estimates is equivalent to…

math.AP2009

Degenerate elliptic operators in one dimension

Derek W. Robinson, Adam Sikora

Let $H$ be the symmetric second-order differential operator on $L_2(\Ri)$ with domain $C_c^\infty(\Ri)$ and action $H φ = - (c φ^{'})^{'}$ where $ c\in W^{1,2}_{\rm loc}(\Ri)$ is a real func…

math.AP2009★ 3 cited

Flows and invariance for elliptic operators

A. F. M. ter Elst, Derek W. Robinson, Adam Sikora

Let $S$ be the submarkovian semigroup on $L_{2} (R^{d})$ generated by a self-adjoint, second-order, divergence-form, elliptic operator $H$ with $W^{1, \infty}$ coefficients $c_{kl}…