Heat flow of extrinsic biharmonic maps from a four dimensional manifold with boundary
From MaRDI portal
Publication:1691826
DOI10.1007/BF03377389zbMath1386.35168arXiv1604.06075WikidataQ125134104 ScholiaQ125134104MaRDI QIDQ1691826
Changyou Wang, Yong Luo, Lei Liu, Tao Huang
Publication date: 25 January 2018
Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.06075
Weak solutions to PDEs (35D30) Initial-boundary value problems for higher-order parabolic systems (35K52)
Related Items
Energy convexity of intrinsic bi-harmonic maps and applications. I: Spherical target ⋮ Doubling annulus Pohožaev type identity and applications to approximate biharmonic maps
Cites Work
- Unnamed Item
- Unnamed Item
- Neck analysis for biharmonic maps
- Partial regularity of a minimizer of the relaxed energy for biharmonic maps
- Boundary regularity and the Dirichlet problem for harmonic maps
- Quantitative stratification and higher regularity for biharmonic maps
- Critical \(O(d)\)-equivariant biharmonic maps
- Partial regularity for biharmonic maps, revisited
- Heat flow of biharmonic maps in dimension four and its application
- Interior and boundary regularity of intrinsic biharmonic maps to spheres
- On the evolution of harmonic mappings of Riemannian surfaces
- On biharmonic maps and their generalizations
- Elliptic partial differential equations of second order
- On the finite time blow-up of biharmonic map flow in dimension four
- Biharmonic maps from \(\mathbb R^4\) into a Riemannian manifold
- Heat flow for extrinsic biharmonic maps with small initial energy
- Biharmonic map heat flow into manifolds of nonpositive curvature
- Remarks on biharmonic maps into spheres
- Strong density for higher order Sobolev spaces into compact manifolds
- Conservation laws for conformally invariant variational problems
- Dimension reduction for the singular set of biharmonic maps
- Boundary regularity for polyharmonic maps in the critical dimension
- Stationary biharmonic maps fromRm into a Riemannian manifold
- The extrinsic polyharmonic map heat flow in the critical dimension
- Partial regularity for harmonic maps and related problems
- Conservation Laws for Fourth Order Systems in Four Dimensions
