Geodesic
Bounded solutions, almost periodic in time, of a~class of nonlinear evolution equations
Sbornik. Mathematics, Tome 49 (1984) no. 1, pp. 73-86

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An evolution equation of the form $u'+L(t)u+A(t)u=f$ is considered, where $L(t)$ is a linear maximally monotone (unbounded) operator and $A(t)$ a nonlinear bounded monotone operator that satisfies a coerciveness condition. Existence theorems are established for bounded and almost periodic (in the senses of Stepanov, Bohr, and Besicovitch) solutions. The theory is then applied to symmetric hyperbolic systems and to some nonlinear Schrödinger-type equations. Bibliography: 19 titles. 
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     author = {A. A. Pankov},
     title = {Bounded solutions, almost periodic in time, of a~class of nonlinear evolution equations},
     journal = {Sbornik. Mathematics},
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A. A. Pankov. Bounded solutions, almost periodic in time, of a~class of nonlinear evolution equations. Sbornik. Mathematics, Tome 49 (1984) no. 1, pp. 73-86. http://geodesic.mathdoc.fr/item/SM_1984_49_1_a5/