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Subcritical nonlinear heat equation |
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| Authors: | Nakao Hayashi Elena I. Kaikina |
| Affiliation: | a Department of Mathematics, Graduate School of Science, Osaka University, Osaka, Toyonaka, 560-0043, Japan b Instituto de Matemáticas, UNAM Campus Morelia, AP 61-3 (Xangari), CP 58089, Morelia, Michoacán, Mexico |
| Abstract: | We study asymptotic behavior in time of small solutions to nonlinear heat equations in subcritical case. We find a new family of self-similar solutions which change a sign. We show that solutions are stable in the neighborhood of these self-similar solutions. |
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