๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Iterative approximation of solutions for semilinear parabolic equations system

โœ Scribed by Zhongtai Ma; Guochun Wen

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
164 KB
Volume
209
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this paper we present the convergence analysis of iterative schemes for solving semilinear systems resulting from multidimensional semilinear second-order parabolic partial differential equations (PDEs) defined in a domain R n ร— R + and subject to Cauchy boundary conditions on R n , using the method of integral successive iterative approximation and the principle of decay estimation, we derive the bounded, nonnegative, local solutions and global solutions. Blowing-up results of the solutions are also presented.

๐Ÿ“œ SIMILAR VOLUMES

Local Solutions of Weakly Parabolic Semi
Local Solutions of Weakly Parabolic Semilinear Differential Equations
โœ Michael Dreher; Volker Pluschke ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 520 KB

Semilinear parabolic boundary value problems with degenerated elliptic pert where the right-hand side depends on the solution an studied. We approximate the parabolic d l l n e a r problem by a system of linear degenerate elliptic problama by the aid of wmidiraatizstion in time. Uilng weighted Sobo

On the numerical computation of blowing-
On the numerical computation of blowing-up solutions for semilinear parabolic equations
โœ D. Fayyad; N. Nassif ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 157 KB ๐Ÿ‘ 1 views

## Abstract Theoretical aspects related to the approximation of the semilinear parabolic equation: $u\_t=\Delta u+f(u)$\nopagenumbers\end, with a finite unknown โ€˜blowโ€upโ€™ time __T__~b~ have been studied in a previous work. Specifically, for __ฮต__ a small positive number, we have considered coupled