### Abstract

The quasi-stationary Maxwell equations are considered as the time-singular limit of the complete equations at the vanishing of the dielectric constant. Uniformly stable solutions of the complete equations are constructed, and their convergence to a solution of the quasi-stationary equations is proved and estimated.

Original language | English |
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Pages (from-to) | 251-274 |

Number of pages | 24 |

Journal | Journal of Mathematical Analysis and Applications |

Volume | 102 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jan 1 1984 |

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### All Science Journal Classification (ASJC) codes

- Analysis
- Applied Mathematics

### Cite this

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**The quasi-stationary Maxwell equations as singular limit of the complete equations : The quasi-linear case.** / Milani, Albert.

Research output: Contribution to journal › Article

TY - JOUR

T1 - The quasi-stationary Maxwell equations as singular limit of the complete equations

T2 - The quasi-linear case

AU - Milani, Albert

PY - 1984/1/1

Y1 - 1984/1/1

N2 - The quasi-stationary Maxwell equations are considered as the time-singular limit of the complete equations at the vanishing of the dielectric constant. Uniformly stable solutions of the complete equations are constructed, and their convergence to a solution of the quasi-stationary equations is proved and estimated.

AB - The quasi-stationary Maxwell equations are considered as the time-singular limit of the complete equations at the vanishing of the dielectric constant. Uniformly stable solutions of the complete equations are constructed, and their convergence to a solution of the quasi-stationary equations is proved and estimated.

UR - http://www.scopus.com/inward/record.url?scp=0021479580&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0021479580&partnerID=8YFLogxK

U2 - 10.1016/0022-247X(84)90218-X

DO - 10.1016/0022-247X(84)90218-X

M3 - Article

AN - SCOPUS:0021479580

VL - 102

SP - 251

EP - 274

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 1

ER -