Abstract
Abstract
Abstract
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CHAPTER 4. THEORY 99<br />
We then have that<br />
Kmax<br />
0<br />
|G1(un)(x, k ′ ) − G1(ū)(x, k ′ )| 2 dk ′ =<br />
+<br />
≤<br />
+<br />
= (<br />
+<br />
δ<br />
0<br />
Kmax<br />
δ<br />
δ<br />
0<br />
= γ2<br />
4<br />
|G1(un)(x, k ′ ) − G1(ū)(x, k ′ )| 2 dk ′<br />
|G1(un)(x, k ′ ) − G1(ū)(x, k ′ )| 2 dk ′<br />
( 2Kmax(M + √ M ∗ ) ¯ h∞) 2 dk ′<br />
Kmax<br />
= γ2<br />
2 .<br />
<br />
2KmaxM + M ∗<br />
<br />
¯ 2 h∞ dk ′<br />
δ<br />
<br />
2KmaxM + M ∗<br />
γ 2<br />
4(Kmax − δ) (Kmax − δ)<br />
+ γ2<br />
4<br />
<br />
¯ h∞) 2 δ<br />
Similarly, for k