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A Class of Abstract Wave Equations

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Nonlinear Vibrations and the Wave Equation

Part of the book series: SpringerBriefs in Mathematics ((BRIEFSMATH))

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Abstract

In this chapter, we apply the general results of Chap. 1 to define and study the solutions to some second order evolution equations of the form

$${u}'' + {Lu}({t}) = {f}({t})$$

where L is an unbounded, positive and self-adjoint operator on a real infinite-dimensional Hilbert space.

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Correspondence to Alain Haraux .

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Haraux, A. (2018). A Class of Abstract Wave Equations. In: Nonlinear Vibrations and the Wave Equation. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-78515-8_2

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