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In section 3, we state some results on the large time behavior of subsonic solutions (for classical solutions in section 3.1 and for subsonic shock solutions in

(The Elliott-Halberstam conjecture does allow one to take B = 2 in (1.39), and therefore leads to small improve- ments in Huxley’s results, which for r ≥ 2 are weaker than the result

“Breuil-M´ezard conjecture and modularity lifting for potentially semistable deformations after

Section 3: infinitely many solutions for quasi-linear problems with odd nonlinear- ities; existence of a weak solution for a general class of Euler’s equations of multiple integrals

II Midisuperspace models in loop quantum gravity 29 5 Hybrid quantization of the polarized Gowdy T 3 model 31 5.1 Classical description of the Gowdy T 3

S., Oxford Advanced Learner's Dictionary of Current English, Oxford University Press, Oxford

However, Verrier and Evans [28] showed it was 4th order superintegrable, and Tanoudis and Daskaloyannis [21] showed in the quantum case that, if a second 4th order symmetry is added

One then imitates the scheme laid out in the previous paragraph, defining the operad for weak n-categories with strict units as the initial object of the category of algebras of