Weighted sobolev spaces and the heat equation in the whole space

Nicolai V Krylov

doi:10.1080/00036819908840707

Weighted sobolev spaces and the heat equation in the whole space

Nicolai V Krylov

School of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

The Cauchy problem for the nonhomogeneous heat equation is considered. Solutions are looked for in Sobolev spaces with weights which are powers of the first coordinate.

Original language	English (US)
Pages (from-to)	111-126
Number of pages	16
Journal	Applicable Analysis
Volume	71
Issue number	1-4
DOIs	https://doi.org/10.1080/00036819908840707
State	Published - Dec 1998

Keywords

The heat equation
Weighted Sobolev spaces

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10.1080/00036819908840707

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title = "Weighted sobolev spaces and the heat equation in the whole space",

abstract = "The Cauchy problem for the nonhomogeneous heat equation is considered. Solutions are looked for in Sobolev spaces with weights which are powers of the first coordinate.",

keywords = "The heat equation, Weighted Sobolev spaces",

author = "Krylov, \{Nicolai V\}",

year = "1998",

month = dec,

doi = "10.1080/00036819908840707",

language = "English (US)",

volume = "71",

pages = "111--126",

journal = "Applicable Analysis",

issn = "0003-6811",

publisher = "Taylor and Francis Ltd.",

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AU - Krylov, Nicolai V

PY - 1998/12

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N2 - The Cauchy problem for the nonhomogeneous heat equation is considered. Solutions are looked for in Sobolev spaces with weights which are powers of the first coordinate.

AB - The Cauchy problem for the nonhomogeneous heat equation is considered. Solutions are looked for in Sobolev spaces with weights which are powers of the first coordinate.

KW - The heat equation

KW - Weighted Sobolev spaces

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UR - https://www.scopus.com/pages/publications/84923025028#tab=citedBy

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DO - 10.1080/00036819908840707

M3 - Article

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VL - 71

SP - 111

EP - 126

JO - Applicable Analysis

JF - Applicable Analysis

IS - 1-4

ER -

Weighted sobolev spaces and the heat equation in the whole space

Abstract

Keywords

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