Heat flow for extrinsic biharmonic maps with small initial energy
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Publication:1771563
DOI10.1023/B:AGAG.0000047526.21237.04zbMath1080.58017OpenAlexW2091738437MaRDI QIDQ1771563
Publication date: 18 April 2005
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/b:agag.0000047526.21237.04
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Energy convexity of intrinsic bi-harmonic maps and applications. I: Spherical target ⋮ The gradient flow of the Möbius energy: \(\epsilon\)-regularity and consequences ⋮ Critical \(O(d)\)-equivariant biharmonic maps ⋮ Existence of constant mean curvature 2‐Spheres in Riemannian 3‐spheres ⋮ On the finite time blow-up of biharmonic map flow in dimension four ⋮ Heat flow of extrinsic biharmonic maps from a four dimensional manifold with boundary ⋮ Doubling annulus Pohožaev type identity and applications to approximate biharmonic maps ⋮ Sharp Morrey regularity theory for a fourth order geometrical equation ⋮ Energy identity of approximate biharmonic maps to Riemannian manifolds and its application ⋮ Well-posedness for the heat flow of polyharmonic maps with rough initial data ⋮ Harmonic and Biharmonic Maps at Iaşi ⋮ The Lamm-Rivière system. I: \(L^p\) regularity theory ⋮ Well-posedness for the heat flow of biharmonic maps with rough initial data ⋮ Regularity of minimizing extrinsic polyharmonic maps in the critical dimension ⋮ Higher order curvature flows on surfaces ⋮ Fourth order approximation of harmonic maps from surfaces ⋮ The extrinsic polyharmonic map heat flow in the critical dimension ⋮ Regularity and uniqueness of a class of biharmonic map heat flows ⋮ Conservation Laws for Fourth Order Systems in Four Dimensions ⋮ Biharmonic wave maps into spheres ⋮ Weak solutions of a biharmonic map heat flow ⋮ A regularity criterion to the biharmonic map heat flow in ℜ4
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