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We develop a phenomenological model of superconductivity near a domain wallin a ferromagnet. In addition to the electromagnetic interaction of the orderparameter with the ferromagnetic magnetization, we take into account thepossibility of a local enhancement or suppression of superconducting pairing inthe vicinity of the wall, and also a non-perfect transparency of the wall toelectrons. It is found that the critical temperature of superconductivity nearthe domain wall might be substantially higher than in the bulk.Comment: 9 pages, 7 figure

Phenomenological theory of superconductivity near domain walls in ferromagnets