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41 reviewsThe present, fourth volume in the series Evolutionary Equations of the Handbook of Differential Equations develops further the program initiated in the past three volumes, namely to provide a panorama of this amazingly rich field, whose roots and fruits are related to the physical world while its flowers belong to the world of mathematics. With an eye towards retaining the proper balance between basic theory and its applications, we are including here review articles by leading experts on the topics described above in the "Main subject categories".