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  • Journées équations aux dérivées partielles
  • Year 1998
  • article no. 7
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On bilinear restriction type estimates and applications to nonlinear wave equations
Sergiù Klainerman
Journées équations aux dérivées partielles (1998), article no. 7, 1 p.
complemented-by On bilinear estimates for wave equations
  • Abstract

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 L 2 theory, which is now quite well developed, I plan to discuss a more general point of view concerning the L p 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.

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@incollection{JEDP_1998____A7_0,
     author = {Sergi\`u Klainerman},
     title = {On bilinear restriction type estimates and applications to nonlinear wave equations},
     booktitle = {},
     series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {7},
     pages = {1--1},
     publisher = {Universit\'e de Nantes},
     year = {1998},
     language = {en},
     url = {https://proceedings.centre-mersenne.org/item/JEDP_1998____A7_0/}
}
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PY  - 1998
SP  - 1
EP  - 1
PB  - Université de Nantes
UR  - https://proceedings.centre-mersenne.org/item/JEDP_1998____A7_0/
LA  - en
ID  - JEDP_1998____A7_0
ER  - 
%0 Journal Article
%A Sergiù Klainerman
%T On bilinear restriction type estimates and applications to nonlinear wave equations
%J Journées équations aux dérivées partielles
%D 1998
%P 1-1
%I Université de Nantes
%U https://proceedings.centre-mersenne.org/item/JEDP_1998____A7_0/
%G en
%F JEDP_1998____A7_0
Sergiù Klainerman. On bilinear restriction type estimates and applications to nonlinear wave equations. Journées équations aux dérivées partielles (1998), article  no. 7, 1 p. https://proceedings.centre-mersenne.org/item/JEDP_1998____A7_0/
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