On Solutions of a Non linear Wave Equation Derived From Brain Activity Modeling

Mouhamad Jradeh (1) , Maïtine Bergounioux (1)

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

In this work, we analyze a cerebral activity model proposed by Jirsa. Using a Galerkin approximation scheme, we prove existence and stability of global weak solutions to a damped non-linear wave equation that generalizes the cerebral activity equation. We prove uniqueness as well.

Keywords: Neural fields wave equation Galerkin method boundary value problem

Domains: Analysis of PDEs [math.AP]

Mouhamad Jradeh, Maïtine Bergounioux. On Solutions of a Non linear Wave Equation Derived From Brain Activity Modeling. 2007. ⟨hal-00126996v1⟩