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On bilinear estimates for wave equations
I will start with a short review of the classical restriction theorem for the sphere and Strichartz estimates for the wave equation. I then plan to give a detailed presentation of their recent generalizations in the form of “bilinear estimates”. In addition to the theory, which is now quite well developed, I plan to discuss a more general point of view concerning the theory. By investigating simple examples I will derive necessary conditions for such estimates to be true. I also plan to discuss the relevance of these estimates to nonlinear wave equations.
@article{JEDP_1998____A7_0, author = {Klainerman, Sergi\`u}, title = {On bilinear restriction type estimates and applications to nonlinear wave equations}, journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, eid = {7}, pages = {1--1}, publisher = {Universit\'e de Nantes}, year = {1998}, language = {en}, url = {http://www.numdam.org/item/JEDP_1998____A7_0/} }
TY - JOUR AU - Klainerman, Sergiù TI - On bilinear restriction type estimates and applications to nonlinear wave equations JO - Journées équations aux dérivées partielles PY - 1998 SP - 1 EP - 1 PB - Université de Nantes UR - http://www.numdam.org/item/JEDP_1998____A7_0/ LA - en ID - JEDP_1998____A7_0 ER -
Klainerman, Sergiù. On bilinear restriction type estimates and applications to nonlinear wave equations. Journées équations aux dérivées partielles (1998), article no. 7, 1 p. http://www.numdam.org/item/JEDP_1998____A7_0/