Abstract
We consider some nonlinear heat equations with nonlocal reaction term in space, in smoothly bounded domains. We prove that all global solutions are uniformly bounded, in other words that blow-up in infinite time cannot occur.
Citation
Pierre Rouchon. "Boundedness of global solutions of nonlinear diffusion equation with localized reaction term." Differential Integral Equations 16 (9) 1083 - 1092, 2003. https://doi.org/10.57262/die/1356060558
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