We consider the quantum completeness problem, ie the problem of confining quantum
particles, on a non-complete Riemannian manifold M equipped with a smooth measure …

Let Ω be a domain in R d with boundary Γ, d Γ the Euclidean distance to the boundary and
H=− div (C∇) an elliptic operator with C=(ckl)> 0 where ckl= clk are real, bounded, Lipschitz …

We prove essential self-adjointness of Dirac operators with Lorentz scalar potentials which
grow sufficiently fast near the boundary ∂ Ω∂ Ω of the spatial domain Ω ⊂ R^ d Ω⊂ R d …

CONVERGENCE OF SCHR ̈ DINGER OPERATOR WITH ELECTROMAGNETIC POTENTIAL .
Page 1 Sci.Int.(Lahore),31(2),303-308,2019 ISSN 1013-5316;CODEN: SINTE 8 303 March-April …

We consider the problem of essential self-adjointness of the drift-diffusion operator $ H=-
\frac {1}{\rho}\nabla\cdot\rho\mathbb D\nabla+ V $ on domains $\Omega\subset\mathbb {R} …

Let $ P $ be a linear, second-order, elliptic operator with real coefficients defined on a
noncompact Riemannian manifold $ M $ and satisfies $ P1= 0$ in $ M $. Assume further that …

Let Ω Ω be a domain in R^ d R d with boundary Γ Γ and let d_ Γ d Γ denote the Euclidean
distance to Γ Γ. Further let H=-\, div (C ∇) H=-div (C∇) where C=(\, c_ kl\,)> 0 C=(c kl)> 0 …

We consider general symmetric systems of first order linear partial differential operators on
domains Rd, and we seek sufficient conditions on the coefficients which ensure essential …

In this paper, as a basic step in arriving at a self-adjoint operator proof, we must find an
estimate function and a continuation of our previous work in proof of convergence and …