Parabolic equations with measurable coefficients II

Doyoon Kim

doi:10.1016/j.jmaa.2006.12.077

Parabolic equations with measurable coefficients II

Doyoon Kim

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

16 Citations (Scopus)

Abstract

We prove the existence and uniqueness of solutions in Sobolev spaces to second-order parabolic equations in non-divergence form. The coefficients (except one of them) of second-order terms of the equations are measurable in both time and one spatial variables, and VMO (vanishing mean oscillation) in other spatial variables.

Original language	English
Pages (from-to)	534-548
Number of pages	15
Journal	Journal of Mathematical Analysis and Applications
Volume	334
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2006.12.077
Publication status	Published - 2007 Oct 1
Externally published	Yes

Keywords

Second-order parabolic equations
Sobolev spaces
Vanishing mean oscillation

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/j.jmaa.2006.12.077

Cite this

@article{7ef0afa3c9254146adabed4ed7cce3cc,

title = "Parabolic equations with measurable coefficients II",

abstract = "We prove the existence and uniqueness of solutions in Sobolev spaces to second-order parabolic equations in non-divergence form. The coefficients (except one of them) of second-order terms of the equations are measurable in both time and one spatial variables, and VMO (vanishing mean oscillation) in other spatial variables.",

keywords = "Second-order parabolic equations, Sobolev spaces, Vanishing mean oscillation",

author = "Doyoon Kim",

year = "2007",

month = oct,

day = "1",

doi = "10.1016/j.jmaa.2006.12.077",

language = "English",

volume = "334",

pages = "534--548",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Parabolic equations with measurable coefficients II

AU - Kim, Doyoon

PY - 2007/10/1

Y1 - 2007/10/1

N2 - We prove the existence and uniqueness of solutions in Sobolev spaces to second-order parabolic equations in non-divergence form. The coefficients (except one of them) of second-order terms of the equations are measurable in both time and one spatial variables, and VMO (vanishing mean oscillation) in other spatial variables.

AB - We prove the existence and uniqueness of solutions in Sobolev spaces to second-order parabolic equations in non-divergence form. The coefficients (except one of them) of second-order terms of the equations are measurable in both time and one spatial variables, and VMO (vanishing mean oscillation) in other spatial variables.

KW - Second-order parabolic equations

KW - Sobolev spaces

KW - Vanishing mean oscillation

UR - http://www.scopus.com/inward/record.url?scp=34249334299&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2006.12.077

DO - 10.1016/j.jmaa.2006.12.077

M3 - Article

AN - SCOPUS:34249334299

SN - 0022-247X

VL - 334

SP - 534

EP - 548

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Parabolic equations with measurable coefficients II

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this