document: On the p-adic Birch , Swinnerton-Dyer Conjecture for non-semistable reduction In this paper , we examine the Iwasawa theory of elliptic curves E with additive reduction at an odd prime p. By extending Perrin-Riou 's theory to certain nonsemistable representations , we are able to convert Kato 's zeta-elements into p-adic L-functions . This allows us to deduce the cotorsion of the Selmer group over the cyclotomic Z/sub p / - extension of Q , and thus prove an inequality in the p-adic Birch and Swinnerton-Dyer conjecture at primes p whose square divides the conductor of E
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