AbstractThe smoothing properties of Schrödinger semigroups, e−tH, H=−12Δ+V, on the scale of Bessel potential spaces Lp, α are studied. We strengthen the (Lp−Lp, α)-smoothing theorem due to M. A. Kon and the author. The new version of this theorem contains a sharp time-estimate for the norm of the semigroup e−tH. We also get an estimate for the constants arising in the form-boundedness inequality for the Kato class potentials
International audienceIn this paper, we study the Weyl symbol of the Schrödinger semigroup e −tH , H...
AbstractIf the potential in a two-particle system is the boundary value of an analytic function, the...
AbstractThis paper deals with two related subjects. In the first part, we give generation theorems, ...
AbstractThe smoothing properties of Schrödinger semigroups, e−tH, H=−12Δ+V, on the scale of Bessel p...
We study Schrodinger semigroups in the scale of Sobolev spaces, and show that, for Kato class potent...
Abstract. We study Schrödinger semigroups in the scale of Sobolev spaces, and show that, for Kato c...
AbstractWe prove a Feynman–Kac formula for Schrödinger type operators on vector bundles over arbitra...
We prove an Lp estimate (Equation Presented) for the Schrödinger group generated by a semibounded, s...
34 pages, 2 figuresWe prove smoothing estimates for Schrödinger equations $i\partial_t \phi+\partial...
AbstractWe show that the Schrödinger operator eitΔ is bounded from Wα,q(Rn) to Lq(Rn×[0,1]) for all ...
34 pages, 2 figuresWe prove smoothing estimates for Schrödinger equations $i\partial_t \phi+\partial...
AbstractLetV ⩽ 0, V ϵ C0∞(Rv) with v ⩾ 3 be such that H = −12Δ + V ⩾ 0 but for any ε > 0, −12Δ + (1 ...
AbstractWe prove smoothing estimates for Schrödinger equations i∂tϕ+∂x(a(x)∂xϕ)=0 with a(x)∈BV, real...
Abstract. We consider the Hermite semigroup, generated by the operator ∆ − y 2 · ∇ in RN. We estab...
Blanchard P, MA ZM. NEW RESULTS ON THE SCHRODINGER SEMIGROUPS WITH POTENTIALS GIVEN BY SIGNED SMOOTH...
International audienceIn this paper, we study the Weyl symbol of the Schrödinger semigroup e −tH , H...
AbstractIf the potential in a two-particle system is the boundary value of an analytic function, the...
AbstractThis paper deals with two related subjects. In the first part, we give generation theorems, ...
AbstractThe smoothing properties of Schrödinger semigroups, e−tH, H=−12Δ+V, on the scale of Bessel p...
We study Schrodinger semigroups in the scale of Sobolev spaces, and show that, for Kato class potent...
Abstract. We study Schrödinger semigroups in the scale of Sobolev spaces, and show that, for Kato c...
AbstractWe prove a Feynman–Kac formula for Schrödinger type operators on vector bundles over arbitra...
We prove an Lp estimate (Equation Presented) for the Schrödinger group generated by a semibounded, s...
34 pages, 2 figuresWe prove smoothing estimates for Schrödinger equations $i\partial_t \phi+\partial...
AbstractWe show that the Schrödinger operator eitΔ is bounded from Wα,q(Rn) to Lq(Rn×[0,1]) for all ...
34 pages, 2 figuresWe prove smoothing estimates for Schrödinger equations $i\partial_t \phi+\partial...
AbstractLetV ⩽ 0, V ϵ C0∞(Rv) with v ⩾ 3 be such that H = −12Δ + V ⩾ 0 but for any ε > 0, −12Δ + (1 ...
AbstractWe prove smoothing estimates for Schrödinger equations i∂tϕ+∂x(a(x)∂xϕ)=0 with a(x)∈BV, real...
Abstract. We consider the Hermite semigroup, generated by the operator ∆ − y 2 · ∇ in RN. We estab...
Blanchard P, MA ZM. NEW RESULTS ON THE SCHRODINGER SEMIGROUPS WITH POTENTIALS GIVEN BY SIGNED SMOOTH...
International audienceIn this paper, we study the Weyl symbol of the Schrödinger semigroup e −tH , H...
AbstractIf the potential in a two-particle system is the boundary value of an analytic function, the...
AbstractThis paper deals with two related subjects. In the first part, we give generation theorems, ...
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