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These boundary conditions have been assiciated with inner equation, and these conditions of concordance are called Shapiro-Lopatinskii conditions.
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"Lorenzo Clayton: Inner Equations".
JERSEY CITY MUSEUM "Lorenzo Clayton: Inner Equations".
JERSEY CITY MUSEUM "Lorenzo Clayton: Inner Equations," through Jan . 5 "Constructing America III: Industry and Modernity," through Aug. 15, 2005.
"Tara Russo: Colorwheels," through Sept. 29; "Lorenzo Clayton: Inner Equations," through Jan . 5 "Constructing America III: Industry and Modernity," through Aug. 15, 2005; "Vargas-Suarez Universal: Space Station: Jersey," semipermanent.
; "Lorenzo Clayton: Inner Equations," through Jan . 5 "Constructing America III: Industry and Modernity," through Aug. 15, 2005; "Vargas-Suarez Universal: Space Station: Jersey," semipermanent.
JERSEY CITY MUSEUM Lorenzo Clayton: Inner Equations," through Jan . 5 "Constructing America III: Industry and Modernity," through Aug. 15, 2005; "Vargas-Suarez Universal: Space Station: Jersey," semi-permanent.
Thursday, 7 to 8 p.m. "Tara Russo: Colorwheels," through Wednesday; "Ephemeral Balance," sculpture by Nancy Cohen, through Nov. 7; "Lorenzo Clayton: Inner Equations," through Jan . 5 "Constructing America III: Industry and Modernity," through Aug. 15, 2005; "Vargas-Suarez Universal: Space Station: Jersey," semipermanent.
These inner equations must be solved simultaneously.
At that order, the inner equations are given by (where we utilized the fact that ( {tilde{mu}}_{alpha}^0={partial}_z{tilde{mu}}_{alpha}^1=0 )) hbox {v}_1{partial}_z{tilde{c}}_{alpha}^0={partial}_zleft {tilde{M}}_{alpha}^0{partial}_z{tilde{mu}}_{alpha}^2right).
From the proof of Theorem 5 it follows that in an inner product space equation (21) is equivalent to equation (8) and equation (22) is equivalent to equation (6).
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