Title

Determination of the coefficient of ux in a linear parabolic equation

Abstract

We investigate the local existence, uniqueness and continuous dependence of a pair (u(x,t), p(t)) satisfying ut=uxx+p(t)ux on (0,1)*(0,T), u(x,0)=u0(x), u(0,t)=f1(t), u(1,t)=f2(t) and m(t)= integral 0b(t) u(x,t)dx. The problem is reduced to finding a fixed point of a nonlinear operator in a closed subset of a Banach space.

Publication Date

12-1-1994

Publication Title

Inverse Problems

Volume

10

Issue

3

Number of Pages

521-531

Document Type

Article

Identifier

scopus

Personal Identifier

scopus

DOI Link

https://doi.org/10.1088/0266-5611/10/3/002

Socpus ID

36149036793 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/36149036793

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