Article ID Journal Published Year Pages File Type
1710172 Applied Mathematics Letters 2009 6 Pages PDF
Abstract

In this paper, we study first-order symmetric, hyperbolic systems of differential operator with constant coefficients on LpLp-spaces. We show that such systems can be governed by some CC-semigroups and as an application we consider the Dirac equation. Our result improves that of Nicaise [S. Nicaise, The Hille–Yosida and Trotter–Kato theorems for integrated semigroups, J. Math. Anal. Appl. 180 (1993) 303–316].

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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