Applications of Methods of Functional Analysis to Problems by Claudio Baiocchi (auth.), Paul Germain, Bernard Nayroles

By Claudio Baiocchi (auth.), Paul Germain, Bernard Nayroles (eds.)

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Extra info for Applications of Methods of Functional Analysis to Problems in Mechanics: Joint Symposium IUTAM/IMU Held in Marseille, September 1–6, 1975

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Dokl. I. 1966a Sur un principe variationnel pour les 6coulements stationnaires des liquides parfaits et sea applications aux problemes de stabilit~ non lin~aires. J. M~canique ~, 29. I. 1966b Sur la g~om6trie diff4rentielle des groupes de Lie de dimension infinie et ses applications ~ l'hydrodynamique des fluides parfaits. Ann. Inst. Fourier (Grenoble) 16, fasc. I, 519-361. B. 1970 Upstream influence. J. Fluid Mech. 4_OO, 49-79. B. 1972 The stability of solitary waves. London, A 32___88,155-185.

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15) = aji in C]x-x'l ~ ~i ~ j ~ = ~ (cf. a~--J--(a i. (x, ~)~x. ) i,j l j [ a l j ( x , y ) - aij(x',y)] ~ ~eneized weakly. 4. 8) but with ffi i , j ~ aij(x'Y) 0Yj ~(~,~) replaced by OY i dy . 1. 4. Remarks The on the P r o o f proof S~S~_I. 1. I. I. to c h e c k when that : in two the one steps. 's are s m o o t h f u n c t i o n s 13 a l w a y s a s s u m e that f is can smooth). S~e~_2. 17) result 2 relies in the This MEYERS is not [I] tegrals) (which : there . m on a priori estimates. 2), Step relies exists which does not to c o m p l e t e Step 2 (assuming 2, one on a llvll= n o r m of that lluell ~ C = c o n s t a n t in o r d e r general of by v i r t u e one 0 the has to use a deeper the C a % d e r o n - Z y g m u n d p >2 such depend on ~.

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