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math.AP2020
Positivity of solutions to the Cauchy problem for linear and semilinear biharmonic heat equations
Hans-Christoph Grunau, Nobuhito Miyake, Shinya Okabe
This paper is concerned with the positivity of solutions to the Cauchy problem for linear and nonlinear parabolic equations with the biharmonic operator as fourth order elliptic pr…
math.AP2020
Boundary value problems for a special Helfrich functional for surfaces of revolution
Klaus Deckelnick, Marco Doemeland, Hans-Christoph Grunau
The central object of this article is (a special version of) the Helfrich functional which is the sum of the Willmore functional and the area functional times a weight factor $\var…