modified quasi-reversibility method for nonautonomous semilinear problems

Clicks: 7
ID: 165647
2013
Free PDF
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.
AI Quality Assessment
Not analyzed
Readership in this journal
Steady

Ranked #205 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 minted

Create 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
Sign in to mint
Abstract
We prove regularization for the ill-posed, semilinear evolution problem $du/dt=A(t, D)u(t)+h(t, u(t))$, $0 leq s leq t < T$, with initial condition $u(s)=chi$ in a Hilbert space where D is a positive, self-adjoint operator in the space. As in recent literature focusing on linear equations, regularization is established by approximating a solution u(t) of the problem by the solution of an approximate well-posed problem. The approximate problem will be defined by one specific approximation of the operator A(t,D) which extends a recently introduced, modified quasi-reversibility method by Boussetila and Rebbani. Finally, we demonstrate our theory with applications to a wide class of nonlinear partial differential equations in $L^2$ spaces including the nonlinear backward heat equation with a time-dependent diffusion coefficient.
Reference Key
fury2013electronicmodified 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
http://ejde.math.txstate.edu/conf-proc/20/f1/abstr.html
Keywords
backward heat equationmathematics

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.