Paradifferential calculus in Gevrey classes By CHEN Hua and Luigi RODINO . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 1 A topological proof of real and symplectic Bott periodicity theorem

KARI ASTALA, TADEUSZ IWANIEC, and EERO SAKSMAN 27. Geometry of stationary sets for the wave equation

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Postulate 1 The state of a physical system is described by a density operator (a positive operator with unit trace) on its state space (a Hilbert space).. For density matrices,

1191 On the closedness of the algebraic difference of closed convex sets.

In any case, we are interested to see how a certain variable varies with respect to one of the other variables or parameters. This is done by

We would like to point out that unlike the pure potential case considered in [RW19], here, in order to guarantee the bulk decay of ˜u, we also need the boundary decay of ∇u due to

When a solution curve crosses one of these lines, it has a local maximum or

In the proof of Theorem 5.6.2, one can replace the condition of pointwise compactness by that f n converges on a countable dense subset of