A singularly perturbed linear-quadratic optimal control problem in an infinite dimensional Hilbert space is considered. An asymptotic solution of the corresponding operator Riccati equation is constructed. This result is illustrated by its application to the asymptotic solution of a set of integral-
Asymptotics of the Solutions to Singularly Perturbed Multidimensional Integral Equations
β Scribed by A.G. Ramm; E.I. Shifrin
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 265 KB
- Volume
- 190
- Category
- Article
- ISSN
- 0022-247X
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Singularly perturbed nonlinear differentialralgebraic equations DAE's are considered, which are decomposed into two auxiliary problems, called the outer and inner problems, respectively. The structure of solutions of the singularly perturbed DAE's is determined by the outer and inner solutions, both
dedicated to professor hermann sohr on the occasion of his 60th birthday Consider weak solutions w of the Navier Stokes equations in Serrin's class w # L : (0, ; L q (0)) for 2Γ:+3Γq=1 with 3<q , where 0 is a general unbounded domain in R 3 . We shall show that although the initial and external di