Matrix methods for wave equations
Abstract
In analogy to a characterisation of operator matrices generating $C_0$semigroups due to R. Nagel (\cite{[Na89]}), we give conditions on its entries in order that a $2\times 2$ operator matrix generates a cosine operator function. We apply this to systems of wave equations, to second order initialboundary value problems, and to overdamped wave equations.
 Publication:

arXiv eprints
 Pub Date:
 June 2019
 DOI:
 10.48550/arXiv.1906.00477
 arXiv:
 arXiv:1906.00477
 Bibcode:
 2019arXiv190600477M
 Keywords:

 Mathematics  Functional Analysis;
 47D09;
 35L05;
 35L20
 EPrint:
 doi:10.1007/s0020900509253