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On existence of strong solutions for $${du\over dt}(t)+\partial\Psi^1(u(t))-\partial\Psi^2(u(t))\ni f(t)$$. (English) Zbl 0386.47040

##### MSC:
 47H20 Semigroups of nonlinear operators 47H05 Monotone operators and generalizations 35K55 Nonlinear parabolic equations 35K05 Heat equation