A case study of an Hamilton-Jacobi equation by the Adomian decompositional method

Details A case study of an Hamilton-Jacobi equation by the Adomian decompositional method A case study of an Hamilton-Jacobi equation by the Adomian decompositional method

2008-12-02

arxiv.org/abs/0812.0582v1

Mathematics

Analysis of PDEs

Scientific paper

We present a study of the Adomian's Decomposition Method (ADM) applied to the Hamilton-Jacobi equations ut + H (ux) = 0. We recall the well known characteristics methods in the case of this type of equations to justify the existence or not of solutions. This yields that the ADM gives efficient solutions in time only in ]0; T *[, where T * is the critical time of our equation.

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