The Willmore flow leads to a quasilinear evolution equation of fourth order. We study existence, uniqueness and regularity of solutions. Moreover, we prove that solutions exist globally and converge exponentially fast to a sphere, provided that they are initially close to a sphere.
"The Willmore flow near spheres." Differential Integral Equations 14 (8) 1005 - 1014, 2001. https://doi.org/10.57262/die/1356123177