### Abstract

Language | English |
---|---|

Pages | 883-884 |

Number of pages | 2 |

Journal | Proceedings in Applied Mathematics and Mechanics, PAMM |

Volume | 16 |

Issue number | 1 |

DOIs | |

Publication status | Published - 25 Oct 2016 |

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### Keywords

- bounded sequence
- G-convergence
- weak operator topology

### Cite this

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*Proceedings in Applied Mathematics and Mechanics, PAMM*, vol. 16, no. 1, pp. 883-884. https://doi.org/10.1002/pamm.201610430

**G-convergence and the weak operator topology.** / Waurick, Marcus.

Research output: Contribution to journal › Conference Contribution

TY - JOUR

T1 - G-convergence and the weak operator topology

AU - Waurick, Marcus

PY - 2016/10/25

Y1 - 2016/10/25

N2 - We show that a bounded sequence (an)n of symmetric d × d-matrix valued functions is G-convergent if and only if ((ι∗anι)−1 )n converges in the weak operator topology. Here ι: R(grad0) ↪ L2(Ω)d denotes the (canonical) embedding from the range of the weak gradient grad0 defined on H10(Ω) into L2(Ω)d, where Ω ⊆ ℝd is open and bounded.

AB - We show that a bounded sequence (an)n of symmetric d × d-matrix valued functions is G-convergent if and only if ((ι∗anι)−1 )n converges in the weak operator topology. Here ι: R(grad0) ↪ L2(Ω)d denotes the (canonical) embedding from the range of the weak gradient grad0 defined on H10(Ω) into L2(Ω)d, where Ω ⊆ ℝd is open and bounded.

KW - bounded sequence

KW - G-convergence

KW - weak operator topology

UR - http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1617-7061

U2 - 10.1002/pamm.201610430

DO - 10.1002/pamm.201610430

M3 - Conference Contribution

VL - 16

SP - 883

EP - 884

JO - Proceedings in Applied Mathematics and Mechanics, PAMM

T2 - Proceedings in Applied Mathematics and Mechanics, PAMM

JF - Proceedings in Applied Mathematics and Mechanics, PAMM

SN - 1617-7061

IS - 1

ER -