Some properties of weighted Sobolev spaces in + d

Nicolai V. Krylov

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1999)

  • Volume: 28, Issue: 4, page 675-693
  • ISSN: 0391-173X

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Krylov, Nicolai V.. "Some properties of weighted Sobolev spaces in $\mathbb {R}^d_+$." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 28.4 (1999): 675-693. <http://eudml.org/doc/84393>.

@article{Krylov1999,
author = {Krylov, Nicolai V.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {weighted Sobolev space; analytic semigroup; complex interpolation; Bessel potential space; parabolic equation},
language = {eng},
number = {4},
pages = {675-693},
publisher = {Scuola normale superiore},
title = {Some properties of weighted Sobolev spaces in $\mathbb \{R\}^d_+$},
url = {http://eudml.org/doc/84393},
volume = {28},
year = {1999},
}

TY - JOUR
AU - Krylov, Nicolai V.
TI - Some properties of weighted Sobolev spaces in $\mathbb {R}^d_+$
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1999
PB - Scuola normale superiore
VL - 28
IS - 4
SP - 675
EP - 693
LA - eng
KW - weighted Sobolev space; analytic semigroup; complex interpolation; Bessel potential space; parabolic equation
UR - http://eudml.org/doc/84393
ER -

References

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  4. [4] M.A. Krasnoselskii - E.I. Pustylnik - P.E. Sobolevskii - P.P. Zabrejko, "Integral operators in spaces of summable functions", Nauka, Moscow, 1966 in Russian; English translation: Noordhoff International Publishing, Leyden, 1976. Zbl0312.47041MR206751
  5. [5] S.G. Krein - Ju I. Petunin - E.M. Semenov, "Interpolation of linear operators", Nauka, Moscow, 1978 in Russian; English translation in Translations of Math. Monographs, Vol. 54, Amer. Math. Soc., Providence, RI, 1982. Zbl0493.46058MR506343
  6. [6] N.V. Krylov, Parabolic equations in the plane and semigroups, Differentsialnye Uravnenija, No. 12, 5 (1969), 2216-2244 in Russian; English translation in Differential Equations5 (1969), 1661-1667. Zbl0254.35057MR265770
  7. [7] N.V. Krylov, Weighted Sobolev spaces and Laplace's equation and the heat equation in a half space, Comm. Partial Differential Equations, 24 (1999), 1611-1653. Zbl0934.35032MR1708104
  8. [8] N.V. Krylov, Some properties of traces for stochastic and deterministic parabolic weighted Sobolev spaces, Preprint No. 99-091, SFB 343, University of Bielefeld. Zbl0980.60091MR1837532
  9. [9] N.V. Krylov - S.V. Lototsky, A Sobolev space theory of SPDEs with constant coefficients on a half line, SIAM J. Math. Anal., 30 (1999) (1998 in electronic form http://www.siam.org/journals/sima/30-2/32690.html), 298-325. Zbl0928.60042MR1664761
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