The invariance principle.
Martin Schechter (1979)
Commentarii mathematici Helvetici
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Displaying similar documents to “Smooth solutions of the heat and wave equations.”
The invariance principle.
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There has been much progress in recent years in understanding the existence problem for wave maps with small critical Sobolev norm (in particular for two-dimensional wave maps with small energy); a key aspect in that theory has been a renormalization procedure (either a geometric Coulomb gauge, or a microlocal gauge) which converts the nonlinear term into one closer to that of a semilinear wave equation. However, both of these renormalization procedures encounter difficulty if the energy...