6533b85afe1ef96bd12b9e83

RESEARCH PRODUCT

Diagonalization of indefinite saddle point forms

Vadim KostrykinStephan SchmitzKrešimir VeselićLuka GrubišićKonstantin A. Makarov

subject

Saddle pointMathematical analysisFluid dynamicsBlock (permutation group theory)Perturbation theory (quantum mechanics)Stokes operatorRotation (mathematics)Mathematics

description

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.

yearjournalcountryeditionlanguage
2020-01-01
https://doi.org/10.1007/978-3-030-31531-3_21