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Spectral properties of stationary solutions of the nonlinear heat equation

Spectral properties of stationary solutions of the nonlinear heat equation

In this paper, we prove that if Ψ is a radially symmetric, signchanging stationary solution of the nonlinear heat equationin the unit ball of R N , N = 3, with Dirichlet boundary conditions, then the solution of (NLH) with initial value λΨ blows up in finite time if |λ …