We investigate the properties of the operator ∆(σ∆·) : H0(Ω) → H−2(Ω), where σ is a given parameter whose sign can change on the bounded domain Ω. Here, H0(Ω) denotes the subspace of H2(Ω) made of the functions v such that v = ν · ∇v = 0 on ∂Ω. The study of this problem arises when one is interested in some configurations of the Interior Transmission Eigenvalue Problem. We prove that ∆(σ∆·) : H...

The SO(32) theory, in the limit where it is an open superstring theory, is completely specified in the light–cone gauge as a second–quantized string theory in terms of a “matrix string” model. The theory is defined by the neighbourhood of a 1+1 dimensional fixed point theory, characterized by an Abelian gauge theory with type IB Green–Schwarz form. Non–orientability and SO(32) gauge symmetry ar...

As the characteristic propagation speed is innnite for unsteady incompressible ows, solving for the pressure operator is the most computationally challenging phase of ow simulation. EEcient solution is dependent upon the availability of fast solvers for sparse linear systems. In this paper we develop an Schwarz preconditioner using overlapping subdomains for the pressure. These local subdomain ...

Curvature is a key feature in shape analysis and its estimation on discrete simplicial complexes benefits many geometry processing applications. However, its study has mostly remained focused on 2D manifolds and computationally practical extensions to higher dimensions remain an active area of computer science research. We examine the existing notions of distortion, an analog of curvature in th...

We establish interior Schauder estimates for kinetic equations with integro-differential diffusion. study of the form $f_t + v \cdot \nabla_x f = \mathcal L_v c$, where $\mathcal L_v$ is an diffusion operator order $2s$ acting in $v$-variable. Under suitable ellipticity and H\"older continuity conditions on kernel L_v$, we obtain a priori estimate $f$ properly scaled space.

We consider a Reissner-Nordstr\"om black hole formed by the collapse of charged null shell. The renormalized expectation values energy-momentum tensor operator for massless scalar field propagating in two-dimensional section this spacetime are given. then analyze across-the-horizon correlations related energy density free-falling observers to reveal between Hawking particles and their interior ...

We compare the integration by parts of contact forms - leading to definition interior Euler operator with so-called canonical splittings variational morphisms. In particular, we discuss possibility a generalization first method lower degree. define suitable Residual for this case and, working out an original conjecture Olga Rossi, recover Krupka-Betounes equivalent order field theories. A secon...

‎In this short note‎, ‎we present some inequalities for relative operator entropy which are generalizations of some results obtained by Zou [Operator inequalities associated with Tsallis relative operator entropy‎, ‎{em Math‎. ‎Inequal‎. ‎Appl.}‎ ‎{18} (2015)‎, ‎no‎. ‎2‎, ‎401--406]‎. ‎Meanwhile‎, ‎we also show some new lower and upper bounds for relative operator entropy and Tsallis relative o...

in this paper, we present the concepts of a fuzzy soft left (right) ideal and fuzzy soft interior ideal over an ordered semigroup s . some basic results of fuzzy soft left (right) ideals and fuzzy soft interior ideals are investigated and the supported examples are provided. different classes, regular, intra-regular, and simple ordered semigroups are   characterized by means of fuzzy sof...