Akagi, Goro Doubly nonlinear evolution equations and Bean’s critical state model for type-II superconductivity. (English) Zbl 1160.47329 Discrete Contin. Dyn. Syst. 2005, Suppl., 30-39 (2005). 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. Reviewer: Jin Liang (Shanghai) Cited in 2 Documents 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 Keywords:doubly nonlinear evolution equation; time-dependent subdifferential; reflexive Banach space; Bean model PDF BibTeX XML Cite \textit{G. Akagi}, Discrete Contin. Dyn. Syst. 2005, 30--39 (2005; Zbl 1160.47329)