In 2007, Terence Tao wrote on his blog an essay about soft analysis, hard analysis and the finitization of soft analysis statements into hard analysis statements. One of his main examples was a quasi-finitization of the infinite pigeonhole principle IPP, arriving at the “finitary” infinite pigeonhole principle FIPP1. That turned out to not be the proper formulation and so we proposed an alterna...

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 29 July 2019Accepted: 28 September 2020Published online: 13 January 2021Keywordsreaction-diffusion systems, classical solutions, global existence, uniform-in-time boundedness, mass dissipationAMS Subject Headings35A01, 35K57, 35K58, 35Q92Publication DataISSN (print): 0036...

Following results are sketched in this extended abstract Datalog recursive programs where each rule has at most one subgoal called unit recursions are shown to be bounded with an e ective con struction of equivalent non recursive programs A generalized chain program which allow IDB predicates of arbitrary arity and remove the uniqueness condition of chain variables is bounded if and only if it ...

A state-constrained optimal boundary control problem governed by a linear elliptic equation is considered. In order to obtain the optimality conditions for the solutions to the model problem, a Slater assumption has to be made that restricts the theory to the two-dimensional case. This difficulty is overcome by a source representation of the control and combined with a Lavrentiev type regulariz...

This paper aims to develop a boundary control solution for a single-link gantry robot manipulator with one axis of rotation. The control procedure is considered with link’s transverse vibrations while system undergoes rigid body nonlinear large rotation and translation. Initially, based on Hamilton principle, governing equations of hybrid motions as a set of partial differential equations...

We prove the unique existence of a classical solution for a linear parabolic system of nondivergence and nondiagonal form. The key ingredient is to combine the energy estimates with Schauder estimates and to obtain a uniform boundedness of a solution.