descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2015Embargo end date: 01 Jan 2023Publisher:Institute of Mathematical StatisticsJournal:Electronic Journal of Probability, volume 20 (issn: 1083-6489,

Authors: Levajković, T.; Pilipović, Stevan; Selesi, Dora; Žigić, Milica;

doi: 10.1214/ejp.v20-3696 , 10.48550/arxiv.2303.06225

arXiv: http://arxiv.org/abs/2303.06225

Stochastic evolution equations with multiplicative noise

- Summary
- Subjects
- Related research
  (2)
- Metrics

Abstract

We study parabolic stochastic partial differential equations (SPDEs), driven by two types of operators: one linear closed operator generating a $C_0-$semigroup and one linear bounded operator with Wick-type multiplication, all of them set in the infinite dimensional space framework of white noise analysis. We prove existence and uniqueness of solutions for this class of SPDEs. In particular, we also treat the stationary case when the time-derivative is equal to zero.

Related Organizations

University of Belgrade
Serbia
University of Novi Sad
Serbia
Faculty of Sciences
Serbia
University of Innsbruck
Austria
University of Novi Sad, Faculty of Sciences
Serbia

Keywords

Wick product, generalized stochastic process, infinitesimal generator, 60H07, stochastic operator, $C_0-$semigroup, FOS: Mathematics, 47D06, 60G20, white noise, 60H40, 46N30, stochastic evolution equation, Probability (math.PR), SPDES, EXPANSION, DRIVEN, DIFFERENTIAL-EQUATIONS, Functional Analysis (math.FA), Mathematics - Functional Analysis, 60H30, chaos expansion, Mathematics - Probability

2 Research products, page 1 of 1

Stochastic evolution equations with Wick-polynomial nonlinearities
2018IsAmongTopNSimilarDocuments
Quasi-stability and global attractor in nonlinear thermoelastic diffusion plate with memory
2015IsAmongTopNSimilarDocuments

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	13
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%