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The energy space and norm growth for abstract wave equations

✍ Scribed by J.A Goldstein; M Wacker

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
442 KB
Volume
16
Category
Article
ISSN
0893-9659

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✦ Synopsis

This is misleading and only partially correct. The purpose of this paper is to explain the role of the energy spaces associated with a wave equation. This is done in an abstract context, when the negative Laplacian is replaced by an arbitrary nonnegative self-adjoint operator on a Hilbert space. For the wave equation on Ic, the norm of the governing group of operators is shown to grow linearly in time (as t + &o).

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