English

Solvability of an Operator Riccati Integral Equation in a Reflexive Banach Space

Optimization and Control 2019-06-24 v2 Analysis of PDEs Functional Analysis

Abstract

We show that if XX is a reflexive Banach space, then a nonautonomous operator Riccati integral equation has a unique strongly continuous self-adjoint nonnegative solution P(t)L(X,X)P(t)\in\mathcal{L}(X,X^*)

Keywords

Cite

@article{arxiv.1906.08579,
  title  = {Solvability of an Operator Riccati Integral Equation in a Reflexive Banach Space},
  author = {Nikita Artamonov},
  journal= {arXiv preprint arXiv:1906.08579},
  year   = {2019}
}

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19 pages