@article{JEP_2022__9__681_0, author = {Bernier, Joackim and Gr\'ebert, Beno{\^\i}t}, title = {Birkhoff normal forms for {Hamiltonian} {PDEs} in their energy space}, journal = {Journal de l{\textquoteright}\'Ecole polytechnique {\textemdash} Math\'ematiques}, pages = {681--745}, publisher = {Ecole polytechnique}, volume = {9}, year = {2022}, doi = {10.5802/jep.193}, language = {en}, url = {http://www.numdam.org/articles/10.5802/jep.193/} }