Uniqueness for the harmonic map flow in two dimensions
From MaRDI portal
Publication:1343746
DOI10.1007/BF01190893zbMath0814.35057MaRDI QIDQ1343746
Publication date: 6 February 1995
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Harmonic maps, etc. (58E20) Heat and other parabolic equation methods for PDEs on manifolds (58J35)
Related Items
The parametric approach to the Willmore flow ⋮ Unnamed Item ⋮ Existence of Partially Regular Solutions for Landau–Lifshitz Equations in ℝ3 ⋮ A new conformal heat flow of harmonic maps ⋮ Bubbling Blow-Up in Critical Parabolic Problems ⋮ Selfsimilar expanders of the harmonic map flow ⋮ Global dissipative half-harmonic flows into spheres: small data in critical Sobolev spaces ⋮ On a new harmonic heat flow with the reverse Hölder inequalities ⋮ Moving mesh for the axisymmetric harmonic map flow ⋮ Struwe-like solutions for the stochastic harmonic map flow ⋮ An improved uniqueness result for the harmonic map flow in two dimensions ⋮ Constraint preserving implicit finite element discretization of harmonic map flow into spheres ⋮ Magnetization switching on small ferromagnetic ellipsoidal samples ⋮ Hölder convergence of Ginzburg-Landau approximations to the harmonic map heat flow ⋮ Dirichlet boundary value problems of landau-lifshitz equation ⋮ Singularity formation for the two-dimensional harmonic map flow into \(S^2\) ⋮ Conservation Laws for Fourth Order Systems in Four Dimensions ⋮ Regularity condition by mean oscillation to a weak solution of the 2-dimensional harmonic heat flow into sphere ⋮ Flowing maps to minimal surfaces: existence and uniqueness of solutions ⋮ ENERGY CONCENTRATION FOR 2-DIMENSIONAL RADIALLY SYMMETRIC EQUIVARIANT HARMONIC MAP HEAT FLOWS ⋮ Finite-time singularity of the stochastic harmonic map flow ⋮ Harmonic map heat flow with rough boundary data ⋮ Partial regularity for two dimensional Landau-Lifshitz equations ⋮ An 𝐿^{𝑝} regularity theory for harmonic maps ⋮ Harmonic maps from surfaces of arbitrary genus into spheres ⋮ (In-)stability of singular equivariant solutions to the Landau–Lifshitz–Gilbert equation
Cites Work
