The biharmonic heat equation with dynamic bi-Laplace-Beltrami boundary conditions generates an analytic, compact, eventually positive and eventually L^infty-contractive C0-semigroup.
Langer, A problem in diffusion or in the flow of heat for a solid in contact with a fluid, Tohoku Math
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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.