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Initialboundary value problems for an extensible beam
 J. Math. Analysis and Applications
, 1973
"... In this paper we discuss certain initialboundary value problems for the nonlinear beam equation where the constants OL and k are positive. Equation (1.1) was proposed by WoinowskyKrieger [28] as a model for ..."
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In this paper we discuss certain initialboundary value problems for the nonlinear beam equation where the constants OL and k are positive. Equation (1.1) was proposed by WoinowskyKrieger [28] as a model for
The Klein–Gordon equation in the antide Sitter cosmology
 J. Math. Pures Appl
"... iv ..."
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MICR'XOPY RESOLUT ION TEST CHART N,1:A L t]PA ~ 16 STANTAROS RayleighBloch Wave Expansions 7
"... fLC ..."
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DiSTRIButiON STATEMENT
, 1982
"... I,Transient acoustic signals are studied in compound waveguides consisting of a resonant cavity attached to a semiinfinite cylindrical waveguide. The signals are shown to have the asymptotic form v(t,x,y) I [ v (t.y)O(x) , t * j o where x (x,x) are coordinates in the cylinder crosssection, y 1 ..."
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I,Transient acoustic signals are studied in compound waveguides consisting of a resonant cavity attached to a semiinfinite cylindrical waveguide. The signals are shown to have the asymptotic form v(t,x,y) I [ v (t.y)O(x) , t * j o where x (x,x) are coordinates in the cylinder crosssection, y 1 2 is a coordinate along the cylinder and t is a time coordinate. Here (x) is an eigenfunction for the cylinder crosssection, with eigen". value i,and S v (t,y) = e(t,y,uj) Fj(11 y/(t 2y 2)) where 6(t,y,p) is a universal factor and F (p) characterizes the momentum distribution of mode j. It is shown that if both the signal sources and observation point are far from the resonator then dir sc F (p) F (p) + F (p) where F is the direct wave that would exist if no resonator were present and F sc ( __dir,.Fdir
SCATTERING THEORY FOR DIFFRACTION GRATINGS#
, 1980
"... IAbstract. Scattering theory is developed for plane diffraction gratings. The author's theory of RayleighBloch wave expansions is used to construct wave operators and a scattering operator for such gratings. For gratings that admit no surface waves, transient wave fields near the gratings are ..."
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IAbstract. Scattering theory is developed for plane diffraction gratings. The author's theory of RayleighBloch wave expansions is used to construct wave operators and a scattering operator for such gratings. For gratings that admit no surface waves, transient wave fields near the gratings are shown to behave for large times like free waves and corresponding asymptotic wave functions are calculated. These results are applied to analyze the echoes from gratings of signals due to localized sources. Finally, the echoes of sources remote from the grating are estimated and shown to be completely characterized by the Smatrix and the signal waveform. 0,.9 cessi es. I'., DD TAB3I ~ L