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Uniqueness for critical nonlinear wave equations and wave maps via the energy inequality
Author(s) -
Struwe Michael
Publication year - 1999
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/(sici)1097-0312(199909)52:9<1179::aid-cpa6>3.0.co;2-e
Subject(s) - uniqueness , mathematics , a priori and a posteriori , nonlinear system , wave equation , class (philosophy) , energy (signal processing) , mathematical analysis , inequality , distribution (mathematics) , statistics , physics , philosophy , epistemology , quantum mechanics , artificial intelligence , computer science
We show uniqueness of sufficiently regular solutions to critical semilinear wave equations and wave maps in the (a priori) much larger class of distribution solutions with finite energy, assuming only that the energy is nonincreasing in time. © 1999 John Wiley & Sons, Inc.