nonautonomous ill-posed evolution problems with strongly elliptic differential operators
Clicks: 56
ID: 135742
2013
Article Quality & Performance Metrics
Overall Quality
Not rated
Combines reader engagement with the AI quality analysis. This
article has not been analysed, so there is no overall score —
reader engagement is measured and shown alongside.
Reader Engagement
Steady Performance
16.5
/100
56 views
9 readers
AI Quality Assessment
Not analyzed
Readership in this journal
SteadyRanked #173 of 219 articles by views in icsoft 2006 - 1st international conference on software and data technologies, proceedings
Most read
Least read
Bar heights use a square-root scale. Only the 120 most-read articles are drawn; the journal has 219 in total.
Mint this article as an NFT
Not yet mintedCreate a permanent, verifiable on-chain record of this article on the Scimatic Network. The NFT is held in your Journament account, and you can withdraw it to your own wallet at any time.
5
SUSD
one-off · no wallet required
Abstract
In this article, we consider the nonautonomous evolution problem $du/dt=a(t)Au(t), 0leq sleq t< T$ with initial condition $u(s)=chi$ where -A generates a holomorphic semigroup of angle $heta in (0,pi/2]$ on a Banach space X and $ain C([0,T]:mathbb{R}^+)$. The problem is generally ill-posed under such conditions, and so we employ methods to approximate known solutions of the problem. In particular, we prove the existence of a family of regularizing operators for the problem which stems from the solution of an approximate well-posed problem. In fact, depending on whether $heta in (0,pi/4]$ or $heta in (pi/4,pi/2]$, we provide two separate approximations each yielding a regularizing family. The theory has applications to ill-posed partial differential equations in $L^p(Omega)$, $1
Abstract Quality Issue:
This abstract appears to be incomplete or contains metadata (128 words).
Try re-searching for a better abstract.
| Reference Key |
fury2013electronicnonautonomous
Use this key to autocite in the manuscript while using
SciMatic Manuscript Manager or Thesis Manager
|
|---|---|
| Authors | ;Matthew A. Fury |
| Journal | icsoft 2006 - 1st international conference on software and data technologies, proceedings |
| Year | 2013 |
| DOI |
DOI not found
|
| URL | |
| Keywords |
Citations
No citations found. To add a citation, contact the admin at info@scimatic.org
Comments
No comments yet. Be the first to comment on this article.