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Doubly nonlinear evolution equations and Bean’s critical state model for type-II superconductivity. (English) Zbl 1160.47329
A solvability theorem is given for the Cauchy problem for doubly nonlinear evolution equation, governed by time-dependent subdifferential operators in a real reflexive Banach space.

MSC:
47J35 Nonlinear evolution equations
34G25 Evolution inclusions
35K55 Nonlinear parabolic equations
47N55 Applications of operator theory in statistical physics (MSC2000)
82D55 Statistical mechanical studies of superconductors
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