Well-posedness of nonlocal Ginzburg-Landau type equations
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Abstract
Abstract Here, the Cauchy problem for linear and nonlinear Ginzburg-Landau type equations are studied. The equation include variable coefficients with convolution terms. Here, assuming enough smoothness on the initial data and the growth conditions on coefficients, the existence, uniqueness of local and global solution, Lp-regularity, and blow up properties to solutions are established. MSC: 35B40, 35B41, 35Q35, 37Lxx, 82C26
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- last seen: 2026-05-19T01:45:01.086888+00:00