Publication Cover
Applicable Analysis
An International Journal
Volume 71, 1998 - Issue 1-4
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Original Articles

Weighted sobolev spaces and the heat equation in the whole space

Pages 111-126 | Received 01 May 1998, Published online: 20 Jan 2011

References

  • Hardy , G.H. , Littlewood , J.E. and Polya , G. 1952 . Inequalities , Cambridge : Cambridge University Press .
  • Krylov , N. V. 1997 . “ One-dimensional SPDEs with constant coefficients on the positive half axis ” . In Proceedings of Steklov Mathematical Institute Seminar, Statistics and Control of Stochastic Processes, The Liptser Festschrift , Edited by: Kabanov , Rozovskii and Shiryaev . 243 – 251 . Singapore-New Jersey-London-HongKong : World Scientific .
  • Krylov N.V. An analytic approach to SPDEs, in “Stochastic Partial Differential Equations. Six Perspectives, Mathematical Surveys and Monographs” AMS, to appear
  • Krylov N.V. Lototsky S.V. A Sobolev space theory of SPDEs with constant coefficients on a half line to appear in SIAM Journal on Math. Analysis.
  • Krylov N.V. Weighted Sobolev spaces and Laplace's and the heat equations in a half space submitted to Communications in PDEs.
  • Krylov N.V. Lototsky S.V. A Sobolev space theory of SPDEs with constant coefficients in a half space submitted to SIAM Journal on Math. Analysis. 2
  • Ladyzhenskaya , O.A. , Solonnikov , V.A. and Ural'tceva , N.N. 1967 . Linear and quasilinear parabolic equations , Moscow : Nauka . in Russian: English translation; American Math. Soc., Providence, 1968.

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