We consider the linear thermoelastic plate equations with free boundary conditions in the Lp in time and Lq in space setting. We obtain unique solvability with optimal regularity for the inhomogeneous problem in a uniform C-domain, which includes the cases of a bounded domain and of an exterior domain with C-boundary. Moreover, we prove uniform a priori-estimates for the solution. The proof is ...

By enabling the nodes or agents to solve small-sized subproblems achieve coordination, distributed algorithms are favored by many networked systems for efficient and scalable computation. While convex problems, substantial available, results more broad nonconvex counterparts extremely lacking. This paper develops a algorithm class of nonsmooth problems featured (i) objective formed both separat...

-In this paper, we investigate some properties of Michel Penot subdifferentials of locally Lipschitz functions and establish Lagrange multiplier rule in terms of Michel-Penot subdifferentials for nonsmooth mathematical programming problem. Key-Words: Nonsmooth optimization; approximate subdifferentials; generalized gradient; Michel Penot subdifferential; Banach space.

In this work we consider a stabilized Lagrange multiplier method in order to approximate the Coulomb frictional contact model in linear elastostatics. The particularity of the method is that no discrete inf-sup condition is needed. We study the existence and the uniqueness of solution of the discrete problem.

A multiplié is one of the key hardware blocks in most digital signal processing (DSP) systems. Typical DSP applications where a multiplier plays an important role include digital filtering, digital communications and spectral analysis. Many current DSP applications are targeted at portable, batteryoperated systems, so that power dissipation becomes one of the primary design constraints. There a...

Approximate computing is a promising approach for reducing power consumption and design complexity in applications that accuracy not crucial factor. multipliers are commonly used error-tolerant applications. This paper presents three approximate 4:2 compressors two multiplier designs, aiming at the area consumption, while maintaining acceptable accuracy. The seeks to develop align positive nega...

a definition of two jointly asymptotically nonexpansive mappings s and t on uniformly convex banach space e is studied to approximate common fixed points of two such mappings through weak and strong convergence of an ishikawa type iteration scheme generated by s and t on a bounded closed and convex subset of e. as a consequence of the notion of two jointly asymptotically nonexpansive maps, we c...

In this paper we characterize the matrices A with the following property: for each ε > 0 there exists k ∈ N such that ‖Ak − I‖ < ε for a given matrix norm. This characterization is applied to the theory of unitary, hermitian nonnegative, positive and stochastic matrices.