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oai:docta.ucm.es:20.500.14352/499762023-08-27T22:59:23Zcom_20.500.14352_14col_20.500.14352_15

Positivity for large time of solutions of the heat equation: The parabolic antimaximum principle Díaz Díaz, Jesús Ildefonso Fleckinger-Pellé, Jacqueline We study the positivity, for large time, of the solutions to the heat equation Q(a) (f,u(0)): [GRAPHIC] where Q is a smooth bounded domain in RN and a C R. We obtain some sufficient conditions for having a finite time t(p) > 0 (depending on a and on the data u(0) and f which are not necessarily of the same sign) such that u(t, x) > 0 For Allt > t(p), a.e.x is an element of Omega. 2023-06-20T09:35:20Z 2023-06-20T09:35:20Z 2004 journal article 1078-0947 https://hdl.handle.net/20.500.14352/49976 http://aimsciences.org/journals/pdfs.jsp?paperID=139&mode=full http://aimsciences.org/ eng REN2000-0766 RTN HPRN-CT- restricted access American Institute of Mathematical Sciences