Global Existence and Regularity of Solutionsfor Complex
نویسنده
چکیده
In this paper, we consider complex Ginzburg-Landau equations of the form u t ? u + P(juj 2)u = 0 in R N where P is a polynomial of degree K with complex coeecients and is a complex number with positive real part <. If the real part of the highest coeecient of P is positive, we prove existence and regularity of a global solution provided that jj < C<, where C depends on K and N.
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