Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-25T14:31:13.267Z Has data issue: false hasContentIssue false
  • English
  • Français

COMPARISON BETWEEN USUAL AND VECTOR TIME DERIVATIVES

Published online by Cambridge University Press:  01 May 2003

ÓSCAR LÓPEZ-POUSO
ÓSCAR LÓPEZ-POUSO
Affiliation:
Univ. Santiago de Compostela, Dep. Mat. Aplicada, Fac. Matemáticas, Campus Sur s/n, 15782 Santiago de Compostela (A Coruña, SPAIN) e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We prove two comparison theorems between the time derivative of a real function $u(x, t)$ such that $u(\cdot,t)$ belongs to L$^1 (\Omega)$ for all $t$, and the time derivative of the vector function $\skew2\hat{u}(t) = u(\cdot, t)$.

Keywords

47D0347H20
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 45 , Issue 1 , January 2003 , pp. 167 - 172
Copyright
2003 Glasgow Mathematical Journal Trust