In this article we study the large-time behavior of the solution to a general Rosenau type approximation to the heat equation [16], by showing that the solution to this approximation approaches the fundamental solution of the heat equation (the heat kernel), but at a slower rate than the usual heat equation. This result is valid in particular for the central differences scheme approximation of ...

Sometimes people interpret novel noun-noun combinations by transferring a property from one constituent concept of the combination to the other. Two theories make different predictions about these ‘property’ interpretations. Alignment theory predicts that the properties transferred will be alignable differences of the concepts being combined. Constraint theory predicts that the properties trans...

This study clarifies the issue of transferring moral rights translation to heirs in international conventions for protection literary and artistic property Arab laws countries copyright neighboring a comparative, balanced way, this came through inventory statement mentioned countries, And determine mechanism their transfer heirs, put forward recommendations that contribute repairing gap what ha...

We study the positivity preserving property for the Cauchy problem for the linear fourth order heat equation. Although the complete positivity preserving property fails, we show that it holds eventually on compact sets.

This paper studies the bang-bang property for time optimal controls governed by semilinear heat equation in a bounded domain with control acting locally in a subset. Also, we present the null controllability cost for semilinear heat equation and an observability estimate from a positive measurable set in time for the linear heat equation with potential.