大規模不法行為出現の背景

Moreover, to obtain the time-decay rate in L q norm of solutions in Theorem 1.1, we first find the Green’s matrix for the linear system using the Fourier transform and then obtain

As far as local conditions at infinity are concerned, it is shown that at energy zero the Dirac equation without mass term has no non-trivial L 2 -solutions at infinity for

The only thing left to observe that (−) ∨ is a functor from the ordinary category of cartesian (respectively, cocartesian) fibrations to the ordinary category of cocartesian

By the algorithm in [1] for drawing framed link descriptions of branched covers of Seifert surfaces, a half circle should be drawn in each 1–handle, and then these eight half

modular proof of soundness using U-simulations.. & RIMS, Kyoto U.). Equivalence

Then it follows immediately from a suitable version of “Hensel’s Lemma” [cf., e.g., the argument of [4], Lemma 2.1] that S may be obtained, as the notation suggests, as the m A

In analogy with Aubin’s theorem for manifolds with quasi-positive Ricci curvature one can use the Ricci flow to show that any manifold with quasi-positive scalar curvature or

We will give a different proof of a slightly weaker result, and then prove Theorem 7.3 below, which sharpens both results considerably; in both cases f denotes the canonical