We prove the Karo conjecture for elliptic operators on ℝn. More precisely, we establish that the domain of the square root of a uniformly complex elliptic operator L = -div (A∇) with bounded measurable coefficients in ℝn is the Sobolev space H1(ℝ
We solve the Kato square root problem for second order elliptic systems in divergence form under mix...
For those who want some explanations about the proof without too much detailsThis is the text of a s...
We give a simplified and direct proof of the Kato square root estimate for parabolic operators with ...
We solve the Kato square root problem for elliptic operators with bounded measurable and complex co...
Upload of the published version.International audienceWe obtain the Kato square root estimate for se...
AbstractLet L be an elliptic differential operator with bounded measurable coefficients, acting in B...
We prove correctness of the Kato square root conjecture for elliptic differential-difference operato...
We find all complex potentials Q such that the general Schrödinger operator on ℝn, given by L=−Δ+Q, ...
We prove that the square root of a uniformly complex elliptic operator L = − div(A∇) with bounded me...
Let L be an elliptic differential operator with bounded measurable coefficients, acting in Bochner s...
The primary focus of this thesis is to consider Kato square root problems for various divergence-for...
We consider a strongly elliptic differential-difference operator in a cylinder with mixed boundary c...
Second-order elliptic differential-difference operators with degeneration in a cylinder associated w...
Let L(t) = −div (A(x, t)∇ x) for t ∈ (0, τ) be a uniformly elliptic operator with boundary condition...
Abstract. We consider the negative Laplacian subject to mixed boundary conditions on a bounded domai...
We solve the Kato square root problem for second order elliptic systems in divergence form under mix...
For those who want some explanations about the proof without too much detailsThis is the text of a s...
We give a simplified and direct proof of the Kato square root estimate for parabolic operators with ...
We solve the Kato square root problem for elliptic operators with bounded measurable and complex co...
Upload of the published version.International audienceWe obtain the Kato square root estimate for se...
AbstractLet L be an elliptic differential operator with bounded measurable coefficients, acting in B...
We prove correctness of the Kato square root conjecture for elliptic differential-difference operato...
We find all complex potentials Q such that the general Schrödinger operator on ℝn, given by L=−Δ+Q, ...
We prove that the square root of a uniformly complex elliptic operator L = − div(A∇) with bounded me...
Let L be an elliptic differential operator with bounded measurable coefficients, acting in Bochner s...
The primary focus of this thesis is to consider Kato square root problems for various divergence-for...
We consider a strongly elliptic differential-difference operator in a cylinder with mixed boundary c...
Second-order elliptic differential-difference operators with degeneration in a cylinder associated w...
Let L(t) = −div (A(x, t)∇ x) for t ∈ (0, τ) be a uniformly elliptic operator with boundary condition...
Abstract. We consider the negative Laplacian subject to mixed boundary conditions on a bounded domai...
We solve the Kato square root problem for second order elliptic systems in divergence form under mix...
For those who want some explanations about the proof without too much detailsThis is the text of a s...
We give a simplified and direct proof of the Kato square root estimate for parabolic operators with ...