Inversion formulas for the reznitskaya transform and stability of lipschitz type in determination of initial heat distribution

In the Reznitskaya transform combining the solutions of some general linear partial differential equations of hyperbolic type and parabolic type, isometrical identities and inversion formulas are established. Furthermore, stability of Lipschitz type in the determination of initial heat distribution is given as an application.     

Weak lower semicontinuity of polyconvex integrals: a borderline case

This article was processed by the author using the Springer-Verlag TEX QPMZGHB macro package 1991.     

A characterization ofC 1-convex sets in Sobolev spaces

In this paper we prove that, ifK is a closed subset ofW ₀ ^1,p (Ω,R ^m ) with 1<p<+∞ andm≥1, thenK is stable under convex combinations withC ¹ coefficients if and only if there exists a closed and convex valued multifunction from Ω toR ^m such that The casem=1 has already been studied by using truncation arguments which rely on the order structure ofR (see [2]). In the casem>1 a different approach is needed, and new techniques involving suitable Lipschitz projections onto convex sets are developed. Our results are used to prove the stability, with respect to the convergence in the sense of Mosco, of the class of convex sets of the form (*); this property may be useful in the study of the limit behaviour of a sequence of variational problems of obstacle type. This article was processed by the author using the Springer-Verlag TEX mamath macro package 1990     

Asymptotic behaviour of minimum problems with bilateral obstacles

Summary In this paper we study the asymptotic behaviour (as h) of the solutions of minimum problems for the functional [¦Du¦²+g(x, u)]dx with bilateral obstacles of the type _hu_h, where _h and _h are sequences of arbitrary functions fromR ⁿ into ¯R.     

Satellite forward VDES channel modeling and impact on higher-layer performance

VHF data exchange system (VDES) is an emerging maritime communications standard that is meant to provide ship-to-shore, shore-to-ship, and ship-to-ship information services. VDES also includes a satellite component to extend the service coverage also to the high sea. Ships can receive important information via VDES and access this service via satellite when they are far from the shore. This paper uses data taken during a measurement campaign to develop an ON-OFF model for the VDE-SAT downlink channel taking the multipath effects caused by sea reflections into account. This model has been used to evaluate the impact of packet-level forward error correction (FEC) schemes (i.e., ideal codes, RaptorQ codes, and 2-Dimension Reed-Solomon codes) to further protect transmissions from deep fading events and to evaluate the impact at the transport level considering the possibility to adopt the transmission control protocol (TCP) for a file map delivery service.