Add to ORKGThis paper deals with an inverse problem of determining a nonlinear source term in a quasi-linear diffusion equation with overposed final observations. Applying integral identity meth-ods, data compatibilities are deduced by which the inverse source problem here is proved to be reasonable and solvable. Furthermore, with the aid of an integral identity that connects the unknown source terms with the known data, a conditional stability is established. 2000 Mathematics Subject Classification: 35K30
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We consider the inverse source problem of determining a source term depending on both time and space...
International audienceWe consider the inverse source problem of determining a source term depending ...
We consider the highly nonlinear and ill posed inverse problem of determining some general expressio...
summary:We consider the problem of determining the unknown source term $ f=f(x,t) $ in a space fract...
The paper considers the features of numerical reconstruction of the advection coefficient when solvi...
International audienceThis article is devoted to the simultaneous resolution of three inverse proble...
In this article, we consider inverse problems of determining a source term and a coefficient of a fi...
We investigate the inverse problem involving recovery of source temperature from the information of ...
An initial-boundary-value problem is considered for the one-dimensional diffusion equation with a ge...
This research determines an unknown source term in the fractional diffusion equation with the Rieman...
This article concerns the inverse problem of the coupled age-structured population dynamics system w...
We consider the identification of nonlinear diffusion coefficients of the form $a(t, u)$ or $a(u)$ i...