The solution of Kato's conjecture (after Auscher, Hofmann, Lacey, McIntosh and Tchamitchian)

Philippe Tchamitchian

Journées équations aux dérivées partielles (2001)

  • page 1-14
  • ISSN: 0752-0360

Abstract

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Kato’s conjecture, stating that the domain of the square root of any accretive operator L = - div ( A ∇ ) with bounded measurable coefficients in ℝ n is the Sobolev space H 1 ( ℝ n ) , i.e. the domain of the underlying sesquilinear form, has recently been obtained by Auscher, Hofmann, Lacey, McIntosh and the author. These notes present the result and explain the strategy of proof.

How to cite

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Tchamitchian, Philippe. "The solution of Kato's conjecture (after Auscher, Hofmann, Lacey, McIntosh and Tchamitchian)." Journées équations aux dérivées partielles (2001): 1-14. <http://eudml.org/doc/93411>.

@article{Tchamitchian2001,
abstract = {Kato’s conjecture, stating that the domain of the square root of any accretive operator $L=-\operatorname\{div\}(A\nabla )$ with bounded measurable coefficients in $\mathbb \{R\}^n$ is the Sobolev space $H^1(\mathbb \{R\}^n)$, i.e. the domain of the underlying sesquilinear form, has recently been obtained by Auscher, Hofmann, Lacey, McIntosh and the author. These notes present the result and explain the strategy of proof.},
author = {Tchamitchian, Philippe},
journal = {Journées équations aux dérivées partielles},
language = {eng},
pages = {1-14},
publisher = {Université de Nantes},
title = {The solution of Kato's conjecture (after Auscher, Hofmann, Lacey, McIntosh and Tchamitchian)},
url = {http://eudml.org/doc/93411},
year = {2001},
}

TY - JOUR
AU - Tchamitchian, Philippe
TI - The solution of Kato's conjecture (after Auscher, Hofmann, Lacey, McIntosh and Tchamitchian)
JO - Journées équations aux dérivées partielles
PY - 2001
PB - Université de Nantes
SP - 1
EP - 14
AB - Kato’s conjecture, stating that the domain of the square root of any accretive operator $L=-\operatorname{div}(A\nabla )$ with bounded measurable coefficients in $\mathbb {R}^n$ is the Sobolev space $H^1(\mathbb {R}^n)$, i.e. the domain of the underlying sesquilinear form, has recently been obtained by Auscher, Hofmann, Lacey, McIntosh and the author. These notes present the result and explain the strategy of proof.
LA - eng
UR - http://eudml.org/doc/93411
ER -

References

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