Given a planar domain Omega, we study the Dirichlet problem {-divA(x, del v) = f in Omega, v = 0 on partial derivative Omega, where the higher-order term is a quasilinear elliptic operator, and f belongs to the Zygmund space L(log L)delta(log log log L)(be ...
We use a Leibniz-rule-type inequality for fractional derivatives to prove conditions under which a solution u(x, t) of the k-generalized KdV equation is in the space L-2(vertical bar x vertical bar(2s) dx) for s is an element of R+. ...
Let B be a positive quaternion algebra, and let O subset of B be an Eichler order. There is associated, in a natural way, a variety X = X(O) the connected components of which are indexed by the ideal classes of O and are isomorphic to spheres. This variety ...
This paper reports the synthesis and characterisation of a family of heterocyclic triethoxysilyl iodides of general formula, (EtO)(3)SiR2-(N+R1), where R-1 = -C5H11, -CH2C6H5 or -C16H33; N+ = pyrrolidinium or piperidinium; and R-2 = -(CH2)(3)- and -(CH2)(1 ...
Let G a locally compact group, H a closed subgroup and 1 < p < ∞. It's well-known that the restriction of the functions from G to H is a surjective linear contraction from Ap(G) onto Ap(H). We prove, when H is amenable, that every element in Ap(H) with com ...