About 200,000 results
|C. S. Morawetz, The decay of the solution of the exterior initial boundary value |
problem for the wave equation, Comm. Pure Appl. Math. 14 (1961), 561-568. MR
24 #A2744. 16. V. P. MihaBov, On the principle of limiting amplitude, Dokl. Akad.
|LIMITINGAMPLITUDE. PRINCIPLE. We deduce the limiting amplitude principle (|
27.6) from dispersion decay (21.2) in weighted energy norms (cf.). Lemma
28.1. Let conditions H0–H5 hold and k ∈ 3 . Then the limiting amplitude principle
|There is a close relationship between the limiting amplitude principle and the |
limiting absorption principle which says that the limit limftn(/ — k2 — if)~'/ exists in
a suitable topology and is a solution to (10). It turns out that the asymptotics of 7"~
|The limiting amplitude principle yields the following long-time asymptotics (see [|
55, 56]): ψ(t,x) = aω(x)e−iωt + ∑ l Clψl(x)e−iωlt + r(t,x), (13.113) where aω (x) is a
limiting amplitude, ψl (x) are the eigenfunctions of the discrete spectrum of the ...
|The statement follows from Remark 3.1, Proposition 7.5 and Definition 2.1 (ii) of |
EQN. U 8. Limiting amplitude principle Proof of Theorem 2.4 ii). By (3.1) and (7.3)
it suffices to prove the Limiting Amplitude Principle only for the diffracted wave ud
M. I. Vishik, M. S. Agranovich, Mikhail Aleksandrovich Shubin - 2002 - Preview
|The limiting amplitudes for the Dirichlet or Neumann b.c. were given in  in |
1896. However, the limiting amplitude principle has not been proved for about
100 years. In the paper  the limiting amplitude principle was considered for a
|LIMITING AMPLITUDE PRINCIPLE [physics, engineering, mathematics] (|
Reflecting bodies) Every solution of the wave equation with a harmonic forcing
term: in the exterior of a reflecting body tends to the steady solution uniformly on
|§3- The principle of limiting amplitude We now consider another principle by |
means of which we can pick out a definite solution of the problem we are
considering, namely, the principle of limiting amplitude. According to this
principle, the ...
|(Russian) Mizohata, S.. and Mochizuku. K. (1966): On the principle of limiting |
amplitude for dissipative wave equations. J. Math. Kyoto Univ. 6. no. 1. 109 127.
Zbl. 173.371 Mochizuku, K. (1969): The principle of limiting amplitude for
|S.Mizohata and K.Mochizuki, On the principle of limiting amplitude for dissipative |
wave equations, J. Math. Kyoto Univ. 6 (l966), l09-l27. l6l. K.Mochizuki, The
principle of limiting amplitude for symmetric hyperbolic systems in an exterior