Non homogeneous Heat Equation: Identification and Regularization for the Inhomogeneous Term - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Mathematical Analysis and Applications Année : 2005

Non homogeneous Heat Equation: Identification and Regularization for the Inhomogeneous Term

Résumé

We study the nonhogeneous heat equation under the form: $ u_{t}-u_{xx}=\varphi (t)f(x)$, where the unknown is the pair of functions $ (u,f)$. Under various assumptions about the the function $ \varphi $ and the final value in $ t=1$ i.e. g(x), we propose different regularizations on this ill-posed problem based on the Fourier transform associated with a Lebesgue measure. For $ \varphi \not\equiv 0\ $the solution is unique.
Fichier principal
Vignette du fichier
HEATNON.pdf (145.07 Ko) Télécharger le fichier
Loading...

Dates et versions

hal-00009221 , version 1 (29-09-2005)

Identifiants

  • HAL Id : hal-00009221 , version 1

Citer

Dang Duc Trong, Nguyen Thanh Long, Alain Pham Ngoc Dinh. Non homogeneous Heat Equation: Identification and Regularization for the Inhomogeneous Term. Journal of Mathematical Analysis and Applications, 2005, 312, pp.93-104. ⟨hal-00009221⟩
163 Consultations
249 Téléchargements

Partager

Gmail Facebook X LinkedIn More