 About 200,000 results  books.google.com 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), 561568. MR
24 #A2744. 16. V. P. MihaBov, On the principle of limiting amplitude, Dokl. Akad. 

 books.google.com LIMITINGAMPLITUDE. PRINCIPLE. We deduce the limiting amplitude principle (
27.6) from dispersion decay (21.2) in weighted energy norms (cf.[21]). Lemma
28.1. Let conditions H0–H5 hold and k ∈ 3 . Then the limiting amplitude principle
... 

 books.google.com 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"~
' ... 

 books.google.com The limiting amplitude principle yields the following longtime 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 ... 

 books.google.com 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
... 

 books.google.com M. I. Vishik, M. S. Agranovich, Mikhail Aleksandrovich Shubin  2002  Preview The limiting amplitudes for the Dirichlet or Neumann b.c. were given in [50] in
1896. However, the limiting amplitude principle has not been proved for about
100 years. In the paper [46] the limiting amplitude principle was considered for a
... 

 books.google.com 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
bounded ... 

 books.google.com §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 ... 

 books.google.com (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
symmetric ... 

 books.google.com S.Mizohata and K.Mochizuki, On the principle of limiting amplitude for dissipative
wave equations, J. Math. Kyoto Univ. 6 (l966), l09l27. l6l. K.Mochizuki, The
principle of limiting amplitude for symmetric hyperbolic systems in an exterior
domain ... 

 