We prove the decay in energy space for solution to defocusing biharmonic Hartree-Fock equations with mass-supercritical and energy-subcritical Choquard-type nonlinearity dimension d⩾3. treat both free perturbed by a potential case. As direct consequence, we obtain large-data scattering H2(Rd)N,N⩾1.

Among various barycentric coordinates and their extensions, the linear and cubic (Hermite) Gordon-Wixom transfinite interpolation schemes deliver the most accurate approximations of the harmonic and biharmonic functions, respectively. However interpolation properties of the original Gordon-Wixom interpolations are studied for convex domains only and, therefore, their current practical importanc...

in this paper we obtain lower and upper estimates for the essential norms of generalized composition operators from weighted dirichlet spaces or bloch type spaces to $q_k$ type spaces.

The evaluation of sums (matrix–vector products) of the solutions of the three-dimensional biharmonic equation can be accelerated using the fast multipole method, while memory requirements can also be significantly reduced. We develop a complete translation theory for these equations. It is shown that translations of elementary solutions of the biharmonic equation can be achieved by considering ...

We have proposed that a hyperstimulated insulin secretion causing β-cell degranulation is the basis for the impaired glucose-potentiated insulin secretion in type 2 diabetes ("overworked β-cell"). To confirm this idea, we previously investigated tolbutamide-infused euglycemic rats. Two novel kinds of β-cell dysfunction were observed: altered phasic glucose-potentiated insulin secretion with pre...