Michael Struwe

Last Name

Struwe

Michael

Publications 1 - 2 of 2

"Bubbling" and Topological Degeneration in the Calculus of Variations
Struwe, Michael (2023)
Milan Journal of Mathematics
After recalling first instances of "topological degeneration " and "bubbling " in geometric analysis we present current challenges in applications of variational methods to problems in this field.
Plateau flow or the heat flow for half-harmonic maps
Struwe, Michael (2024)
Analysis & PDE
Using the interpretation of the half-Laplacian on S¹ as the Dirichlet-to-Neumann operator for the Laplace equation on the ball B, we devise a classical approach to the heat flow for half-harmonic maps from S¹ to a closed target manifold N ⊂ Rⁿ, recently studied by Wettstein, and for arbitrary finite-energy data we obtain a result fully analogous to the author’s 1985 results for the harmonic map heat flow of surfaces and in similar generality. When N is a smoothly embedded, oriented closed curve Γ ⊂ Rⁿ, the half-harmonic map heat flow may be viewed as an alternative gradient flow for a variant of the Plateau problem of disc-type minimal surfaces.

Publications 1 - 2 of 2