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Article Contents

# Convergence to self-similar solutions for a semilinear parabolic equation

• We study the behavior of solutions of the Cauchy problem for a parabolic equation with power nonlinearity. Our concern is the rate of convergence of solutions to forward self-similar solutions. We determine the exact rate of convergence which turns out to depend on the spatial decay rate of initial data.
Mathematics Subject Classification: Primary: 35K15, 35K57; Secondary: 35B40.

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