Generalized first-order nonlinear evolution equations and generalized Yosida approximations based on $H$-maximal monotonicity frameworks
Electronic Journal of Differential Equations, Tome 2009 (2009).

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Summary: First a general framework for the Yosida approximation is introduced based on the relative H-maximal monotonicity model, and then it is applied to the solvability of a general class of first-order nonlinear evolution equations. The obtained results generalize and unify a wide range of results to the context of the solvability of first-order nonlinear evolution equations in several settings.
Classification : 49J40, 65B05
Keywords: generalized first-order evolution equations, variational problems, maximal monotone mapping, relative H-maximal monotone mapping, relative H-maximal accretive mapping, generalized resolvent operator, general yosida approximations
@article{EJDE_2009__2009__a124,
     author = {Verma, Ram U.},
     title = {Generalized first-order nonlinear evolution equations and generalized {Yosida} approximations based on $H$-maximal monotonicity frameworks},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2009},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a124/}
}
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Verma, Ram U. Generalized first-order nonlinear evolution equations and generalized Yosida approximations based on $H$-maximal monotonicity frameworks. Electronic Journal of Differential Equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a124/