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Theorem 3 implies strong asymptotic stability results: the energy of strong solutions decays to zero, with an explicit decay rate

(4.9) We thus have, from the parametrix expansion of the density and the regularizing property of the kernel, the lower bound on the compact sets of the parabolic metric in short

The initial value problem for the nonlinear Klein-Gordon equation with various cubic nonlinearities depending on v, v t , v x , v xx , v tx and having a suitable nonresonance

Although the choice of the state spaces is free in principle, some restrictions appear in Riemann geometry: Because Einstein‘s field equations contain the second derivatives of the

Thus, Fujita’s result says that there are no global, nontrivial solutions of (1.3) whenever the blow up rate for y(t) is not smaller than the decay rate for w(x, t) while there are

Given a marked Catalan tree (T, v), we will let [T, v] denote the equivalence class of all trees isomorphic to (T, v) as a rooted tree, where the isomorphism sends marked vertex

At the end of the section, we will be in the position to present the main result of this work: a representation of the inverse of T under certain conditions on the H¨older

The device accepts fundamental mode parallel resonant crystal or a single ended (LVCMOS/LVTTL) reference clock as input.. The output signals can be modulated using the spread