Positivity for large time of solutions of the heat equation: The parabolic antimaximum principle

Díaz Díaz, Jesús IldefonsoFleckinger-Pellé, Jacqueline2023-06-202023-06-2020041078-0947https://hdl.handle.net/20.500.14352/49976We 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.engPositivity for large time of solutions of the heat equation: The parabolic antimaximum principlejournal articlehttp://aimsciences.org/journals/pdfs.jsp?paperID=139&mode=fullhttp://aimsciences.org/restricted access517.95maximum and antimaximum principleheat equationparabolic problemsGeometría diferencialEcuaciones diferenciales1204.04 Geometría Diferencial1202.07 Ecuaciones en Diferencias