𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Simple inequalities in the vibrating string and heat conduction problems

✍ Scribed by M. Pachter; R.I. Becker


Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
880 KB
Volume
313
Category
Article
ISSN
0016-0032

No coin nor oath required. For personal study only.

✦ Synopsis


Certain inequalities arepresented, related to the Lz norms of the solutions to the vibrating string and heat conduction partial diflerential equations; in particular, an "L2 maximum principle" is derived for the heat equation, and similar inequalities for the vibrating string problem.


πŸ“œ SIMILAR VOLUMES


Identification of the Thermal Conductivi
✍ D. Lesnic; L. Elliott; D.B. Ingham πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 312 KB

duction equations with linear and/or nonlinear boundary conditions can be formulated for the treatment of all these In this study the inverse problem of the identification of temperature dependent thermal properties of a heat conducting body is problems. However, it should be said that simultaneous

A simple heat-conduction method for simu
✍ Masaki Hayashi; Neil Goeller; William L. Quinton; Nicole Wright πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 354 KB

## Abstract Hillslope runoff in permafrost regions covered by organic soil is strongly influenced by subsurface flow in the active layer, as well as surface flow where the active layer is very shallow. Flow rates in the organic‐rich active layer are strongly dependent on the depth to the thawing fr

Optimal singular and chattering modes in
✍ L.A. Manita πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 231 KB

The problem of minimizing the root mean square deviation of a uniform string with clamped ends from an equilibrium position is investigated. It is assumed that the initial conditions are specified and the ends of the string are clamped. The Fourier method is used, which enables the control problem w