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Published in:
2020 | OriginalPaper | Chapter
Diagonalization of indefinite saddle point forms
Authors : Luka Grubišić, Vadim Kostrykin, Konstantin A. Makarov, Stephan Schmitz, Krešimir Veselić
Published in: Analysis as a Tool in Mathematical Physics
Publisher: Springer International Publishing
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We obtain sufficient conditions that ensure block diagonalization (by a direct rotation) of sign-indefinite symmetric sesquilinear forms as well as the associated operators that are semi-bounded neither from below nor from above. In the semi-bounded case, we refine the obtained results and, as an example, revisit the block Stokes operator from fluid dynamics.