## Abstract The convergence of the Galerkin approximations to solutions of abstract evolution equations of the form __u__′(__t__)= − __Au__(__t__) + __M__(__u__(__t__)) is shown. Here __A__ is a closed, positive definite, self‐adjoint linear operator with domain __D__(__A__) dense in a Hilbert spac
Structure of Solutions to Linear Evolution Equations: Extensions of d'Alembert's Formula
✍ Scribed by Gisèle Ruiz Goldstein; Jerome A. Goldstein; Enrico Obrecht
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 196 KB
- Volume
- 201
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
✦ Synopsis
The d'Alembert formula expresses the general solution of the factored equation N Ž . Ž.
js1 j Ž . s h t for a rather general right-hand side h.
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