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We consider a general class of one-dimensional parabolic systems, mainly coupled in the diffusion term, which, in fact, can be of the degenerate type. We derive some new L(1)-gradient type estimates for its solutions which are uniform in the sen[...]texto impreso
Arrieta Algarra, José María ; Rodríguez Bernal, Aníbal | World Scientific Publ. Co. Pte. Ltd. | 2004-10In this paper we show that several known critical exponents for nonlinear parabolic problems axe optimal in the sense that supercritical problems are ill posed in a strong sense. We also give an answer to an open problem proposed by Brezis and C[...]texto impreso
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Let X be any compact connected Riemann surface of genus g, with g ? 3. For any r ? 2, let denote the moduli space of holomorphic SL(r,?)-connections over X. It is known that the biholomorphism class of the complex variety is independent of the[...]
