AbstractIn 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=fin Rn. We extend the well-known Lp–Lq estimates for the solution of the free Helmholtz equation to the case when the electromagnetic hamiltonian H is considered
The Cauchy problem for the Helmholtz equation appears in applications related to acoustic or electro...
AbstractWe study inhomogeneous Strichartz estimates for the Schrödinger equation for dimension n⩾3. ...
Minimal length Schrödinger equation is investigated for harmonic potential in the presence of magnet...
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...
Abstract. In space dimension n ≥ 3, we consider the electromagnetic Schrödinger Hamiltonian H = (∇−...
157 p.[EN]We consider the Helmholtz equation in Rd, d 3, with electric and magnetic potentials. T...
We study the Helmholtz equation with electromagnetic-type perturbations, in the exterior of a domain...
AbstractWe study the electromagnetic Helmholtz equation(∇+ib(x))2u(x)+n(x)u(x)=f(x),x∈Rd, with the m...
Uniform resolvent estimate for Helmholtz equations in 2D exterior domain is derived. Similar estimat...
The estimation for a trace is received functions which is the solution of the Helmholz equation in h...
In space dimension n < 3, we consider the magnetic Schrödinger Hamiltonian H = -(∇ - iA(x)) 2 and...
Wavelength plays a distinguished role in classical electromagnetic and acoustic scattering. Most sig...
Abstract. We consider three problems for the Helmholtz equation in interior and exterior domains in ...
We study the magnetic Schrodinger operator $H$ on $\textbf{\textit{R}}^n$, $n\geq3$. We assume that ...
The Cauchy problem for the Helmholtz equation appears in applications related to acoustic or electro...
AbstractWe study inhomogeneous Strichartz estimates for the Schrödinger equation for dimension n⩾3. ...
Minimal length Schrödinger equation is investigated for harmonic potential in the presence of magnet...
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...
Abstract. In space dimension n ≥ 3, we consider the electromagnetic Schrödinger Hamiltonian H = (∇−...
157 p.[EN]We consider the Helmholtz equation in Rd, d 3, with electric and magnetic potentials. T...
We study the Helmholtz equation with electromagnetic-type perturbations, in the exterior of a domain...
AbstractWe study the electromagnetic Helmholtz equation(∇+ib(x))2u(x)+n(x)u(x)=f(x),x∈Rd, with the m...
Uniform resolvent estimate for Helmholtz equations in 2D exterior domain is derived. Similar estimat...
The estimation for a trace is received functions which is the solution of the Helmholz equation in h...
In space dimension n < 3, we consider the magnetic Schrödinger Hamiltonian H = -(∇ - iA(x)) 2 and...
Wavelength plays a distinguished role in classical electromagnetic and acoustic scattering. Most sig...
Abstract. We consider three problems for the Helmholtz equation in interior and exterior domains in ...
We study the magnetic Schrodinger operator $H$ on $\textbf{\textit{R}}^n$, $n\geq3$. We assume that ...
The Cauchy problem for the Helmholtz equation appears in applications related to acoustic or electro...
AbstractWe study inhomogeneous Strichartz estimates for the Schrödinger equation for dimension n⩾3. ...
Minimal length Schrödinger equation is investigated for harmonic potential in the presence of magnet...