Normal form for semi-linear Klein-Gordon equations with superquadratic oscillators

作者：Imekraz Rafik^*

来源：Monatshefte fur Mathematik, 2016, 179(4): 535-575.

DOI：10.1007/s00605-015-0739-2

• Nonlinear
• Compact manifold
• Klein
• Gordon
• Normal form

We prove a long time existence result for semi-linear Klein-Gordon equations with a superquadratic potential for small and smooth initial datum. The proof relies on a weak separation of eigenvalues and specific multilinear estimates of eigenfunctions of superquadratic oscillators.

• 出版日期2016-4