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math.AP2025
Biharmonic Equations
Dirk Pauly, Alberto Valli
In this note we devise and analyse well-posed variational formulations and operator theoretical methods for boundary value problems associated to the biharmonic operator. Of partic…
math.SP2025
Shape Derivatives of the Eigenvalues of the De Rham Complex for Lipschitz Deformations and Variable Coefficients: Part II
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron
In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our…