Lq(Lp) theory and Hölder estimates for parabolic SPDEs

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Hölder estimates are given for the solutions of parabolic stochastic partial differential equations in C1 domains. Also existence and uniqueness theorems are presented in Lp-spaces with weights. It is allowed that the powers of summability with respect to space and time to be different.

Original languageEnglish
Pages (from-to)313-330
Number of pages18
JournalStochastic Processes and their Applications
Volume114
Issue number2
DOIs
Publication statusPublished - 2004 Dec 1
Externally publishedYes

Fingerprint

Existence and Uniqueness Theorem
Stochastic Partial Differential Equations
Parabolic Partial Differential Equations
Lp Spaces
Summability
Partial differential equations
Estimate
Uniqueness

Keywords

  • Hölder estimate
  • Stochastic partial differential equations

ASJC Scopus subject areas

  • Statistics, Probability and Uncertainty
  • Mathematics(all)
  • Statistics and Probability
  • Modelling and Simulation

Cite this

Lq(Lp) theory and Hölder estimates for parabolic SPDEs. / Kim, Kyeong Hun.

In: Stochastic Processes and their Applications, Vol. 114, No. 2, 01.12.2004, p. 313-330.

Research output: Contribution to journalArticle

@article{940b8e7a2c6f4594955b9f517a4da9be,
title = "Lq(Lp) theory and H{\"o}lder estimates for parabolic SPDEs",
abstract = "H{\"o}lder estimates are given for the solutions of parabolic stochastic partial differential equations in C1 domains. Also existence and uniqueness theorems are presented in Lp-spaces with weights. It is allowed that the powers of summability with respect to space and time to be different.",
keywords = "H{\"o}lder estimate, Stochastic partial differential equations",
author = "Kim, {Kyeong Hun}",
year = "2004",
month = "12",
day = "1",
doi = "10.1016/j.spa.2004.07.004",
language = "English",
volume = "114",
pages = "313--330",
journal = "Stochastic Processes and their Applications",
issn = "0304-4149",
publisher = "Elsevier",
number = "2",

}

TY - JOUR

T1 - Lq(Lp) theory and Hölder estimates for parabolic SPDEs

AU - Kim, Kyeong Hun

PY - 2004/12/1

Y1 - 2004/12/1

N2 - Hölder estimates are given for the solutions of parabolic stochastic partial differential equations in C1 domains. Also existence and uniqueness theorems are presented in Lp-spaces with weights. It is allowed that the powers of summability with respect to space and time to be different.

AB - Hölder estimates are given for the solutions of parabolic stochastic partial differential equations in C1 domains. Also existence and uniqueness theorems are presented in Lp-spaces with weights. It is allowed that the powers of summability with respect to space and time to be different.

KW - Hölder estimate

KW - Stochastic partial differential equations

UR - http://www.scopus.com/inward/record.url?scp=8444235451&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=8444235451&partnerID=8YFLogxK

U2 - 10.1016/j.spa.2004.07.004

DO - 10.1016/j.spa.2004.07.004

M3 - Article

AN - SCOPUS:8444235451

VL - 114

SP - 313

EP - 330

JO - Stochastic Processes and their Applications

JF - Stochastic Processes and their Applications

SN - 0304-4149

IS - 2

ER -