The biharmonic heat equation with dynamic bi-Laplace-Beltrami boundary conditions generates an analytic, compact, eventually positive and eventually L^infty-contractive C0-semigroup.
Bernis, Change of sign of the solutions to some parabolic problems, Nonlinear analysis and applications (Arlington, Tex., 1986), 75–82, Lecture Notes in Pure and Appl
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The Biharmonic Heat Equation with General Dynamic Boundary Conditions
The biharmonic heat equation with dynamic bi-Laplace-Beltrami boundary conditions generates an analytic, compact, eventually positive and eventually L^infty-contractive C0-semigroup.