Wave equations on space-times of low regularity: Existence results and regularity theory in the framework of generalized function algebras

James D. E. Grant; Eberhard Mayerhofer

Wave equations on space-times of low regularity: Existence results and regularity theory in the framework of generalized function algebras

Analysis of PDEs 2007-11-14 v1 Mathematical Physics math.MP

Authors: James D. E. Grant , Eberhard Mayerhofer

Abstract

We present recent developments concerning Lorentzian geometry in algebras of generalized functions. These have, in particular, raised a new interest in refined regularity theory for the wave equation on singular space-times.

Keywords

wave equations low regularity space-times generalized function algebras Lorentzian geometry existence results regularity theory singular space-times

Cite

@article{arxiv.0711.1972,
  title  = {Wave equations on space-times of low regularity: Existence results and regularity theory in the framework of generalized function algebras},
  author = {James D. E. Grant and Eberhard Mayerhofer},
  journal= {arXiv preprint arXiv:0711.1972},
  year   = {2007}
}

Comments

5 pages, presented at the International Conference on Generalized Functions, GF07, September 2007, Bedlewo, Poland

Wave equations on space-times of low regularity: Existence results and regularity theory in the framework of generalized function algebras

Abstract

Keywords

Cite

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