On global weak solutions for Landau-Lifshitz equations: Existence and nonuniqueness
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Publication:4030878
DOI10.1016/0362-546X(92)90196-LzbMath0788.35065MaRDI QIDQ4030878
Alain Soyeur, François Alouges
Publication date: 1 April 1993
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
weak solutionexistenceCauchy probleminitial value problemNeumann boundary conditionsLandau-Lifshitz equationsnonuniquenessHeisenberg equationstationary mapsboundary initial value problemheat flow for harmonic mapsbounded regular domain
Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) PDEs in connection with optics and electromagnetic theory (35Q60)
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Cites Work
