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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]
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Abstract

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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