Existence results for linear evolution equations of parabolic type

Tôn Viêt Ta

doi:10.3934/cpaa.2018039

Existence results for linear evolution equations of parabolic type

Tôn Viêt Ta

附属国際農業教育・研究推進センター

研究成果: Contribution to journal › Article › 査読

抄録

We study a stochastic parabolic evolution equation of the form dX + AXdt = F(t)dt + G(t)dW(t) in Banach spaces. Existence of mild and strict solutions and their space-time regularity are shown in both the deterministic and stochastic cases. Abstract results are applied to a nonlinear stochastic heat equation.

本文言語	英語
ページ（範囲）	751-785
ページ数	35
ジャーナル	Communications on Pure and Applied Analysis
巻	17
号	3
DOI	https://doi.org/10.3934/cpaa.2018039
出版ステータス	出版済み - 5 2018

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

文献へのアクセス

10.3934/cpaa.2018039

フィンガープリント「Existence results for linear evolution equations of parabolic type」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル

@article{822bb39fd5b242c5a075ac391cccdd73,

title = "Existence results for linear evolution equations of parabolic type",

abstract = "We study a stochastic parabolic evolution equation of the form dX + AXdt = F(t)dt + G(t)dW(t) in Banach spaces. Existence of mild and strict solutions and their space-time regularity are shown in both the deterministic and stochastic cases. Abstract results are applied to a nonlinear stochastic heat equation.",

author = "Ta, {T{\^o}n Vi{\^e}t}",

year = "2018",

month = may,

doi = "10.3934/cpaa.2018039",

language = "English",

volume = "17",

pages = "751--785",

journal = "Communications on Pure and Applied Analysis",

issn = "1534-0392",

publisher = "American Institute of Mathematical Sciences",

number = "3",

}

TY - JOUR

T1 - Existence results for linear evolution equations of parabolic type

AU - Ta, Tôn Viêt

PY - 2018/5

Y1 - 2018/5

N2 - We study a stochastic parabolic evolution equation of the form dX + AXdt = F(t)dt + G(t)dW(t) in Banach spaces. Existence of mild and strict solutions and their space-time regularity are shown in both the deterministic and stochastic cases. Abstract results are applied to a nonlinear stochastic heat equation.

AB - We study a stochastic parabolic evolution equation of the form dX + AXdt = F(t)dt + G(t)dW(t) in Banach spaces. Existence of mild and strict solutions and their space-time regularity are shown in both the deterministic and stochastic cases. Abstract results are applied to a nonlinear stochastic heat equation.

UR - http://www.scopus.com/inward/record.url?scp=85044411471&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85044411471&partnerID=8YFLogxK

U2 - 10.3934/cpaa.2018039

DO - 10.3934/cpaa.2018039

M3 - Article

AN - SCOPUS:85044411471

VL - 17

SP - 751

EP - 785

JO - Communications on Pure and Applied Analysis

JF - Communications on Pure and Applied Analysis

SN - 1534-0392

IS - 3

ER -