Periodic Solutions of the 1D Vlasov-Maxwell System with Boundary Conditions
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(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Periodic solutions of the 1D Vlasov-Maxwell system with boundary conditions Mihai Bostan. N° 3554 November 1998 THÈME 4. ISSN 0249-6399. apport de recherche.
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(263)
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(265) . Y Y Y. . . .. c1#%% . !B h "#%$& B ')( %* +. . . . !B h Y Y *,+ Y Y * +
(266) . $".01 B ) ' ( 3* 2 [ [ < [ : Y % Z : 8?I 8=8=$ [ [: 4 *2 Y % Z: 8J698=8=$ [ [: . *2 N 0LO ¡_ao!ZgYWY +cKPojU[_ h UWlt ¡X*`*l\^UW_a` @t¢ vXd\!X*feUW`* 2 6!6V& ;P h P h X*lP,\eM¤Z]\ U[fv\eM*P O¦UWY h fj_aYWXd\^UW_a`l_aojoePfjcG_g` h UW`*9\e_\^M*P¨»¤P Y h -B h 8 B h $ 8 B ')( N X*`dU[¸X*P `*Pfjf<_g \^M*P¥;PZg§ fj_aY[XV\^UW_a`9 ¡_go!\^M*P¥O(_ h UW»*P h tY Z]fe_ c*oj_a*YWPO 6O ®¤fe_ e47 Z]` h ;P:M¤ZaP
(267) $ [ $kVq4 Y % $3 [ ;PZg§ UW` I 4 g N gO $ VW4 Y T T z&_ :®¤UW\bUWf0PZgfri\^ _(l|M*P l|§ \eM¤Z]\;PlZg`9c¤Zgfef \e_(\eM*P:Y[UWO(UW\bUW` N rr;O \e_¦_gd\|ZgUW`
(268) ! 8 $ 8J' ( 4 ! 8 $ 8J')( 8 ;PZg§ UW` I L g . 4. . . ¶ S ¶ .:¡: ¶39 ] 2 8 8 $ 8 $ @ I4 -A B C j : +=<
(269) Y
(270) & 3 8= 8
(271) k & /B
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(273) . dcdfe gRh iikj. .
(274) Lg. * & & . ¶2¶ C ¢#w©\bUWfbZg` U[O(O(P h U[Z]\ePl _a`*feP ¸X*P`*l PS_g BTVl|M¤ZgX h Po0»dmVP h cG_gU[`\0\^M*P _aoeP O ¢ 0$ 8¯ ¦
(275)
(276) ! $33
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(278)
(279) & 3 8= 8.
(280) k +& 2 /B
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(284) Y . zZ{cd|zZ}.
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(286) !"$#%'& ()+*,&.-0/123 4 56. ¶2¶ C ¢ P\ _a*feP ojgP\eM¤Z]\ ¡_ao S. Q . . . . . G P:Z¨feP ¸X*P`*l P<_g ¯cK_afeU\^UaP`X*O<KPojf®¤0M*_afjPYWU[O(U\0U[f 6 ¢ P feO¦ZgYWY2vPM¤ZaP
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(288) . . c!. #%%. . Y . . . S. . ' ( *,+. ! B $ . 1 B ' ( 3 * 2 Z : 8=>< 8=8=$ /@ A B C_E`698JI1KZC A BM*L 8 . 4P.eQ . S T. !B $" B. . Z: 8 [ k . S. Y . . ;: 8 [ . 4 698. 8. Z: 8i< @. A B CFEG698?IKa8. $ cb L ' ( 4 .RQ $ VW4X.eQ Y * $3 Z: 8i<>8?8?$ [ ]8 SUT S. Z: 8i< @. A B CFEG698?IKa8. -' ( # $ 476H8. Z: 8i< @. A B CFEG698?IKa8. 0UW\eM9\eM*P:G_aXd` h Zgori l_a` h UW\eU[_g`*f
(289) ;: 8J698?%8=$ 4. Z: 8?%8?%$ 8. :/@ A B j% 698?%$ @ A B *8. ;: 8JI&8?%8?%$ 4. . Z: 8?%8?%$ 8. :/@ A B % 698?%$ @ A B *%8. $ Z: 8J6 cb ' ( ;: 8J6 4,$ ;:i 8. dcdfe gRh iikj. :"@ A B 8.
(290) w. * & & $ Z: J8 I .0b ' ( Z: J8 I 4,$ ;:i 8. :"@ A B ,8. u& \^P oPmk\^oeZgl \eU[`d.feXd*feP ¸kXdP`*l Pg®G;P:M¤ZaP:\^M*P:l _a`aPojaP`dlPx
(291) - 8 $ 8J' ( ! 8 $x8?')( 8 ;PZg§ UW` I L 8 Zg` h
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(295).
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(298).
(299) . 8B 8B . B. 7. . 8
(300) . . .. . . . 8. . .
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(303) VW4 Y [ Vq4 Y [ ;PZg§ UW` I 4 8 Zg` h
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