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Diagonalization of indefinite saddle point forms

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Analysis as a Tool in Mathematical Physics

Abstract

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.

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Correspondence to Luka Grubišić .

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To the memory of Boris Sergeevich Pavlov

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Grubišić, L., Kostrykin, V., Makarov, K.A., Schmitz, S., Veselić, K. (2020). Diagonalization of indefinite saddle point forms. In: Kurasov, P., Laptev, A., Naboko, S., Simon, B. (eds) Analysis as a Tool in Mathematical Physics. Operator Theory: Advances and Applications, vol 276. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-31531-3_21

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