It is shown that the fundamental solution to the Schrödinger equation on a d-dimensional sphere has an explicit description at times that are rational multiples of π. This leads to sharp Lpestimates on the solution operator at those times. Analogous, though less explicit, results are obtained when spheres are replaced by Zoll manifolds, and when potentials are added
We study the solvability of multidimensional difference equations in Sobolev-Slobodetskii spaces. In...
The Weyl law of the Laplacian on the flat torus $\mathbb{T}^n$ is concerning the number of eigenvalu...
We propose a conjecture for long time Strichartz estimates on generic (non-rectangular) flat tori. W...
It is shown that the fundamental solution to the Schrödinger equation on a d-dimensional sphere has ...
It is shown that the fundamental solution to the Schrödinger equation on a d-dimensional sphere has...
AbstractIn this paper we prove the Lp−Lp′ estimate for the Schrödinger equation on the half-line and...
AbstractIn this paper we consider supercritical nonlinear Schrödinger equations in an analytic Riema...
In this paper we show the persistence property for solutions of the derivative nonlinear Schr\"oding...
AbstractLet u = u(x, t) be a solution to the IVP for the Schrödinger equation iu1 = (−Δ + V(x))u ≡ H...
We study concentrated bound states of the Schrodinger-Newton equations Moroz, Penrose and Tod prove...
Given a potential $V$ and the associated Schrödinger operator -Δ+$V$, we consider the problem of pro...
AbstractWe show that the Schrödinger operator eitΔ is bounded from Wα,q(Rn) to Lq(Rn×[0,1]) for all ...
We consider Schrödinger operators in R^d with complex potentials supported on a hyperplane and show ...
AbstractWe derive the long-time asymptotics for solutions of the discrete 2D Schrödinger and Klein–G...
We consider Schrödinger operators in R^d with complex potentials supported on a hyperplane and show ...
We study the solvability of multidimensional difference equations in Sobolev-Slobodetskii spaces. In...
The Weyl law of the Laplacian on the flat torus $\mathbb{T}^n$ is concerning the number of eigenvalu...
We propose a conjecture for long time Strichartz estimates on generic (non-rectangular) flat tori. W...
It is shown that the fundamental solution to the Schrödinger equation on a d-dimensional sphere has ...
It is shown that the fundamental solution to the Schrödinger equation on a d-dimensional sphere has...
AbstractIn this paper we prove the Lp−Lp′ estimate for the Schrödinger equation on the half-line and...
AbstractIn this paper we consider supercritical nonlinear Schrödinger equations in an analytic Riema...
In this paper we show the persistence property for solutions of the derivative nonlinear Schr\"oding...
AbstractLet u = u(x, t) be a solution to the IVP for the Schrödinger equation iu1 = (−Δ + V(x))u ≡ H...
We study concentrated bound states of the Schrodinger-Newton equations Moroz, Penrose and Tod prove...
Given a potential $V$ and the associated Schrödinger operator -Δ+$V$, we consider the problem of pro...
AbstractWe show that the Schrödinger operator eitΔ is bounded from Wα,q(Rn) to Lq(Rn×[0,1]) for all ...
We consider Schrödinger operators in R^d with complex potentials supported on a hyperplane and show ...
AbstractWe derive the long-time asymptotics for solutions of the discrete 2D Schrödinger and Klein–G...
We consider Schrödinger operators in R^d with complex potentials supported on a hyperplane and show ...
We study the solvability of multidimensional difference equations in Sobolev-Slobodetskii spaces. In...
The Weyl law of the Laplacian on the flat torus $\mathbb{T}^n$ is concerning the number of eigenvalu...
We propose a conjecture for long time Strichartz estimates on generic (non-rectangular) flat tori. W...
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