The solution of the Kato problem in two dimensions.
Hofmann, Steve ; McIntosh, Alan
Publicacions Matemàtiques, Tome 46 (2002), p. 143-160 / Harvested from Biblioteca Digital de Matemáticas
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We solve, in two dimensions, the "square root problem of Kato". That is, for L ≡ -div (A(x)∇), where A(x) is a 2 x 2 accretive matrix of bounded measurable complex coefficients, we prove that L1/2: L1 2(R2) → L2(R2).

[Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial (Madrid), 2002].

Publié le : 2002-01-01
DMLE-ID : 4114 
@article{urn:eudml:doc:41610,
     title = {The solution of the Kato problem in two dimensions.},
     journal = {Publicacions Matem\`atiques},
     volume = {46},
     year = {2002},
     pages = {143-160},
     zbl = {1020.47031},
     mrnumber = {MR1964818},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41610}
}

Hofmann, Steve; McIntosh, Alan. The solution of the Kato problem in two dimensions.. Publicacions Matemàtiques, Tome 46 (2002) pp. 143-160. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41610/