The aim of this mini-course is twofold: describe quickly the framework of quasilinear wave equation with small data; and give a detailed sketch of the proofs of the blowup theorems in this framework. The first chapter introduces the main tools and concepts, and presents the main results as solutions of natural conjectures. The second chapter gives a self-contained account of geometric blowup and of its applications to present problem.
@article{JEDP_2002____A1_0, author = {Alinhac, Serge}, title = {A minicourse on global existence and blowup of classical solutions to multidimensional quasilinear wave equations}, journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, eid = {1}, pages = {1--33}, publisher = {Universit\'e de Nantes}, year = {2002}, doi = {10.5802/jedp.599}, mrnumber = {1968197}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/jedp.599/} }
TY - JOUR AU - Alinhac, Serge TI - A minicourse on global existence and blowup of classical solutions to multidimensional quasilinear wave equations JO - Journées équations aux dérivées partielles PY - 2002 SP - 1 EP - 33 PB - Université de Nantes UR - http://archive.numdam.org/articles/10.5802/jedp.599/ DO - 10.5802/jedp.599 LA - en ID - JEDP_2002____A1_0 ER -
%0 Journal Article %A Alinhac, Serge %T A minicourse on global existence and blowup of classical solutions to multidimensional quasilinear wave equations %J Journées équations aux dérivées partielles %D 2002 %P 1-33 %I Université de Nantes %U http://archive.numdam.org/articles/10.5802/jedp.599/ %R 10.5802/jedp.599 %G en %F JEDP_2002____A1_0
Alinhac, Serge. A minicourse on global existence and blowup of classical solutions to multidimensional quasilinear wave equations. Journées équations aux dérivées partielles (2002), article no. 1, 33 p. doi : 10.5802/jedp.599. http://archive.numdam.org/articles/10.5802/jedp.599/
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