A Landau-Lifshitz-type equation in studying thin film micromagnetics
The paper is concerned with a Landau-Lifshitz-type equation which was first raised by DeSimone and Otto, etc., when studying thin film micromagnetics. We get the existence of a continuous solution using penalty approximation, compensated compactness and commutator estimate. (c) 2006 Elsevier Ltd. All rights reserved.
landau-lifshitz-type equation continuous solution commutator estimate square root of the laplacian penalized equation