
Abstract: In this talk we are concerned with parabolic Kirchhoff equations involving the Laplacian and non-homogeneous boundary conditions of Neumann or Robin type. We describe results regarding to the existence, uniqueness, continuous dependence on data, priori estimates and higher regularity for the parabolic PDE. Conditions ensuring the existence of isolated global or local minimizers of the energy are also provided. Such minimizers are established as asymptotically stable stationary solutions with respect to the evolutionary equation.
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