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Global existence for nonlinear wave equations
Author(s) -
Klainerman Sergiu
Publication year - 1980
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/cpa.3160330104
Subject(s) - mathematics , gravitational singularity , nonlinear system , singularity , hyperbolic partial differential equation , partial differential equation , pure mathematics , mathematical analysis , calculus (dental) , physics , quantum mechanics , medicine , dentistry
summary:The author investigates time-periodic solutions of the quasilinear beam equation with the help of accelerated convergence methods. Using the Newton iteration scheme, the problem is approximated by a sequence of linear equations solved via the Galerkin method. The derivatiove loss inherent to this kind of problems is compensated by taking advantage of smoothing operators