Abstract
We study the existence of connecting orbits for the Fujita equation with a critical or supercritical exponent. For certain ranges of the exponent we prove the existence of heteroclinic connections from positive steady states to zero and a homoclinic orbit with respect to zero.
Citation
Marek Fila. Eiji Yanagida. "Homoclinic and heteroclinic orbits for a semilinear parabolic equation." Tohoku Math. J. (2) 63 (4) 561 - 579, 2011. https://doi.org/10.2748/tmj/1325886281
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