Kato's conjecture on open sets of R.

Pascal Auscher; Philippe Tchamitchian

Revista Matemática Iberoamericana (1992)

  • Volume: 8, Issue: 2, page 149-199
  • ISSN: 0213-2230

Abstract

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We prove Kato's conjecture for second order elliptic differential operators on an open set in dimension 1 with arbitrary boundary conditions. The general case reduces to studying the operator T = - d/dx a(x) d/dx on an interval, when a(x) is a bounded and accretive function. We show for the latter situation that the domain of T is spanned by an unconditional basis of wavelets with cancellation properties that compensate the action of the non-regular function a(x).

How to cite

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Auscher, Pascal, and Tchamitchian, Philippe. "Conjetura de Kato sobre los abiertos de R.." Revista Matemática Iberoamericana 8.2 (1992): 149-199. <http://eudml.org/doc/39423>.

@article{Auscher1992,
author = {Auscher, Pascal, Tchamitchian, Philippe},
journal = {Revista Matemática Iberoamericana},
keywords = {Operadores diferenciales; Operadores elípticos; Espacios de Hilbert; Ondas; Sistemas abiertos; Kato's conjecture; unconditional basis of wavelets},
language = {spa},
number = {2},
pages = {149-199},
title = {Conjetura de Kato sobre los abiertos de R.},
url = {http://eudml.org/doc/39423},
volume = {8},
year = {1992},
}

TY - JOUR
AU - Auscher, Pascal
AU - Tchamitchian, Philippe
TI - Conjetura de Kato sobre los abiertos de R.
JO - Revista Matemática Iberoamericana
PY - 1992
VL - 8
IS - 2
SP - 149
EP - 199
LA - spa
KW - Operadores diferenciales; Operadores elípticos; Espacios de Hilbert; Ondas; Sistemas abiertos; Kato's conjecture; unconditional basis of wavelets
UR - http://eudml.org/doc/39423
ER -

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