Evolution Problems

The following sections are included:

• The Stability Condition for the Harmonic Map Heat Flow

• Higher Regularity for Evolution Problems

• The Heat Flow into Spheres

• The Heat Flow into General Target Manifolds

• The Landau-Lifshitz Equation

• Further Remarks

  • The Harmonic Map Heat Flow into Homogeneous Manifolds

  • The Landau-Lifshitz Equation for Almost-Kähler Manifolds