Add to ORKGAbstract. In space dimension n ≥ 3, we consider the electromagnetic Schrödinger Hamiltonian H = (∇−iA(x))2+V and the corresponding Helmholtz equation (∇ − iA(x))2u + u + V (x)u = f in Rn, where the magnetic and electric potentials are allowed to have singularities at the origin and decay at infinity. We extend the well known Lp-Lq estimates for the solution of the free Helmholtz equation to the case when the electromag-netic hamiltonian H is considered. This work extends the results that appear in [G]. 1
This article is concerned with uniqueness and stability issues for the inverse spectral problem of r...
Minimal length Schrödinger equation is investigated for harmonic potential in the presence of magnet...
In this paper we study the Cauchy problem associated to the Maxwell-Schr¨odinger system with a defoc...
Abstract. In space dimension n ≥ 3, we consider the electromagnetic Schrödinger Hamiltonian H = (∇−...
AbstractIn space dimension n⩾3, we consider the electromagnetic Schrödinger hamiltonian H=(∇−iA(x))2...
157 p.[EN]We consider the Helmholtz equation in Rd, d 3, with electric and magnetic potentials. T...
For the magnetic Hamiltonian with singular vector potentials, we analytically continue the resolvent...
We study the Helmholtz equation with electromagnetic-type perturbations, in the exterior of a domain...
We study the magnetic Schrodinger operator $H$ on $\textbf{\textit{R}}^n$, $n\geq3$. We assume that ...
Uniform resolvent estimate for Helmholtz equations in 2D exterior domain is derived. Similar estimat...
Consider a non-negative self-adjoint operator H on L2. We suppose that its heat operator satisfies a...
AbstractThe paper concerns the magnetic Schrödinger operator H(a,V)=∑j=1n(1i∂∂xj−aj)2+V on Rn. Under...
In space dimension n < 3, we consider the magnetic Schrödinger Hamiltonian H = -(∇ - iA(x)) 2 and...
The estimation for a trace is received functions which is the solution of the Helmholz equation in h...
Asymptotics of solutions to Schrodinger equations with singular magnetic and electric potentials is ...
This article is concerned with uniqueness and stability issues for the inverse spectral problem of r...
Minimal length Schrödinger equation is investigated for harmonic potential in the presence of magnet...
In this paper we study the Cauchy problem associated to the Maxwell-Schr¨odinger system with a defoc...
Abstract. In space dimension n ≥ 3, we consider the electromagnetic Schrödinger Hamiltonian H = (∇−...
AbstractIn space dimension n⩾3, we consider the electromagnetic Schrödinger hamiltonian H=(∇−iA(x))2...
157 p.[EN]We consider the Helmholtz equation in Rd, d 3, with electric and magnetic potentials. T...
For the magnetic Hamiltonian with singular vector potentials, we analytically continue the resolvent...
We study the Helmholtz equation with electromagnetic-type perturbations, in the exterior of a domain...
We study the magnetic Schrodinger operator $H$ on $\textbf{\textit{R}}^n$, $n\geq3$. We assume that ...
Uniform resolvent estimate for Helmholtz equations in 2D exterior domain is derived. Similar estimat...
Consider a non-negative self-adjoint operator H on L2. We suppose that its heat operator satisfies a...
AbstractThe paper concerns the magnetic Schrödinger operator H(a,V)=∑j=1n(1i∂∂xj−aj)2+V on Rn. Under...
In space dimension n < 3, we consider the magnetic Schrödinger Hamiltonian H = -(∇ - iA(x)) 2 and...
The estimation for a trace is received functions which is the solution of the Helmholz equation in h...
Asymptotics of solutions to Schrodinger equations with singular magnetic and electric potentials is ...
This article is concerned with uniqueness and stability issues for the inverse spectral problem of r...
Minimal length Schrödinger equation is investigated for harmonic potential in the presence of magnet...
In this paper we study the Cauchy problem associated to the Maxwell-Schr¨odinger system with a defoc...