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Showing 1 to 2 of 2 for “"Alikakos"”.
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On upper bounds for waiting times for doubly nonlinear parabolic equations
… fully understood thanks to the works of Aronson, Alikakos, Caffarelli, Chipot, Kamin, Sideris (1983-1985). Although lower bounds, e. g. by Giacomelli, Grün (2006), are also known for further classes of equations, for example the doubly degenerate parabolic differential equation $u_t - Delta_p u^m …
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Collective behaviour of active particles with mean-field interaction
… at infinite time, which makes use of the $L^p$ Alikakos iteration method. We show a nonlinear stability result for the time-dependent problem for small interaction strength and small initial perturbation. We also show a uniqueness result for the stationary PDE for small interaction strength. We …