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Subcritical nonlinear heat equation - MaRDI portal

Subcritical nonlinear heat equation (Q996963)

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scientific article; zbMATH DE number 5173081
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Subcritical nonlinear heat equation
scientific article; zbMATH DE number 5173081

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    Subcritical nonlinear heat equation (English)
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    19 July 2007
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    The Cauchy problem for a semilinear parabolic equation is considered. The existence of a family of sign-changing self-similar solutions is established. It is also shown that these self-similar solutions are stable in a suitable sense.
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    semilinear parabolic equation
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    self-similar solutions
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    sign-changing self-similar solutions
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