Monotone control nonlinear diffusion, primal macro-hybrid mixed variational problems, in reflexive Banach spaces, are analyzed. Composition duality principles, based on coupling compatibility conditions, establish macro-hybrid, mixed and primal equivalent variational solvabilities. Qualitative properties as existence, uniqueness and stability are determined. Macro-hybridization is performed for spatial parallel analysis and computation, in terms of non-overlapping multidomain decompositions, with primal transmission conditions dualized.
Control nonlinear diffusion problem Composition duality principle Qualitative variational analysis Macro-hybrid mixed formulation Non-overlapping domain decomposition Dual transmission problem
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