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Vanishing of solutions for a nonlinear parabolic problem (Spanish: Desaparición de soluciones para un problema parabólico no lineal)

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1979
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Santander : la Universidad,
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Abstract
We show the existence of instantaneous shrinking of the support and finite extinction time for a nonlinear parabolic problem (see (P) below) corresponding to a nonlinear diffusion with absorption phenomenon
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Proceedings of the sixth conference of Portuguese and Spanish mathematicians, held in Santander, Spain, June 5–8, 1979
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H. Brezis - A. Friedman: "Estimates on the support of solutions of parabolic variational inequalities". I11. Journal of Math. 20 (1976) p. 82-99 L. C. Evans - B. Knerr: "Instantaneous shrinking of the support of nonnegative solutions to certain nonlinear parabolic equations and variational inequalities" (Aparecerá). O. Ladyzenska'ia: "Sur de nouvelles equations dans la dynamique des fluides visqueux et leur resolution globale". Troudi. Mat. Inst. Stekloff (1967) p. 85-104 J. L. Lions: Quelques methodes de resolution des problemes aux limites non linéaires. Ed. Dunod (1968) M. Herrero: "Comportamiento de las soluciones de ciertos problemas no lineales sobre dominios no acotados". Tesis doctoral, Madrid, 1979 M. Herrero - J. L. Vázquez: "On a class of nonlinear parabolic equations" (Aparecerá)
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