Doob's ω-Transform on Local Dirichlet Spaces. (23rd August 2021)
- Record Type:
- Journal Article
- Title:
- Doob's ω-Transform on Local Dirichlet Spaces. (23rd August 2021)
- Main Title:
- Doob's ω-Transform on Local Dirichlet Spaces
- Authors:
- Bezzarga, Mounir
Kenzizi, Tarek - Abstract:
- Abstract: In this article, we study the existence and uniqueness of nonnegative solutions for the following parabolic problem { H t ω u + ∂ u ∂ t = 0, in X × ( 0, T ), u ( x, 0 ) = u 0 ( x ), in X, where T > 0, X is a locally compact separable metric space, Ht is a operator (not necessarily selfadjoint) associated with a regular (not necessarily symmetric)local Dirichlet form E t, the initial value u 0 ∈ L 2 ( X, ω 2 d m ) and m is a positive Radon measure on Borel subset U of X such that m ( U ) > 0. Our technical approach for uniqueness is based on Täcklind type uniqueness theorem.
- Is Part Of:
- Numerical functional analysis and optimization. Volume 42:Number 12(2021)
- Journal:
- Numerical functional analysis and optimization
- Issue:
- Volume 42:Number 12(2021)
- Issue Display:
- Volume 42, Issue 12 (2021)
- Year:
- 2021
- Volume:
- 42
- Issue:
- 12
- Issue Sort Value:
- 2021-0042-0012-0000
- Page Start:
- 1423
- Page End:
- 1443
- Publication Date:
- 2021-08-23
- Subjects:
- Dirichlet forms -- heat equation -- parabolic problem
35J35 -- 35J50 -- 35J60
Functional analysis -- Periodicals
Numerical analysis -- Periodicals
Mathematical optimization -- Periodicals
Numerical Analysis, Computer-Assisted
515.705 - Journal URLs:
- http://www.tandfonline.com/toc/lnfa20/current ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/01630563.2021.1962909 ↗
- Languages:
- English
- ISSNs:
- 0163-0563
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 6184.692000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 19688.xml