Solving a linear conservation law subject to initial and final conditions

Olivier Besson (1) , Jerome Pousin (2)

1 UNINE - Institut de Mathématiques
2 MMCS - Modélisation mathématique, calcul scientifique

An existence and uniqueness result for a linear conservation law subject to the initial and final conditions by using a spacetime least-squares formulation is proved. Some numerical simulations of a linear conservation law with a non-well-known velocity field are shown. An application to cardiac image reconstruction is presented.

Mots clés: land use; yield interannual variability; quadratic optimization

Domaines: Equations aux dérivées partielles [math.AP]

Olivier Besson, Jerome Pousin. Solving a linear conservation law subject to initial and final conditions. Inverse Problems, 2011, 27 (11), 115007, 17 pp. ⟨hal-00915487⟩