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Given (mathbf{m}_{0} inmathbf{H}^{alpha}{(Omega)}) such that (|mathbf{m}_{0}|=1) a.e., (mathbf{u}_{0} inmathbf{H}^{1}_{0}(Omega)) and (mathbf{u}_{1} inmathbf{L}^{2}(Omega)). Then there exists a solution ((mathbf{m}^{varepsilon},mathbf{u}^{varepsilon})), for any positive ε small enough, to problem (11) in the sense of distributions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com