ON THE SUMMABILITY OF THE SOLUTIONS OF THE INHOMOGENEOUS HEAT EQUATION WITH A POWER-LAW NONLINEARITY AND VARIABLE COEFFICIENTS
Résumé
In this article, we investigate the summability of the formal power series solutions in time of the inhomogeneous heat equation with a power-law nonlinearity of degree two, and with variable coefficients. In particular, we give necessary and sufficient conditions for the 1-summability of the solutions in a given direction. These conditions generalize the ones given for the linear heat equation by W. Balser and M. Loday-Richaud in a 2009 article [5].
Domaines
Systèmes dynamiques [math.DS]
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Summability_inhomogeneous_semilinear_heat_equation_v1.pdf (320.85 Ko)
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