Homoclinic and heteroclinic orbits for a semilinear parabolic equation

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概要

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• 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.

著者

• Yanagida Eiji

  Department Of Information Science Faculty Of Science Tokyo Institute Of Technology

• Fila Marek

  Department Of Applied Mathematics And Statistics Comenius University

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