On an overdetermined problem of determining parameter in a degenerate parabolic equation

Autor:	Jiaqing Pan
Rok vydání:	2011
Předmět:	Overdetermined system Nonlinear system Range (mathematics) Work (thermodynamics) Number theory General Mathematics Ordinary differential equation Mathematical analysis Degenerate energy levels Diffusion velocity Mathematics
Zdroj:	Lithuanian Mathematical Journal. 51:533-542
ISSN:	1573-8825 0363-1672
DOI:	10.1007/s10986-011-9146-0
Popis:	This work is concerned with the solvability of the ill-posed problem of determining the diffusion velocity in nonlinear diffusion process with an additional restriction. We first prove the continuous dependence of the solutions with respect to the nonlinearity of the equation and give an explicit error-estimate formula, and then, we show the existence of the solution to the ill-posed problem and estimate the range of the velocity.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0f6fa47af7a1cf818092a61ee71b07d0 https://doi.org/10.1007/s10986-011-9146-0 Zobrazit plný text záznamu Full text from SpringerLink