A lemma on C<inf>0</inf>-semigroups and applications

Abstract:

In this note we characterize a large class of C0-semigroups which can be applied to prove the existence and the uniqueness of the solutions of many systems of partial differential equations. In fact, we apply our result to a strongly damped wave equation, damped vibration of a string equation and reaction diffusion systems. Finally, we formulate an open problem. © 2003, Taylor & Francis Group, LLC. All rights reserved.

Año de publicación:

2003

Keywords:

• Existence of solutions
• C -semigroup 0
• Systems of partial differential equations

Fuente:

scopus

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