Geodesic
Generalized first-order nonlinear evolution equations and generalized Yosida approximations based on \(H\)-maximal monotonicity frameworks
Electronic journal of differential equations, Tome 2009 (2009)
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},
     year = {2009},
     volume = {2009},
     zbl = {1168.49003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a124/}
}
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JO  - Electronic journal of differential equations
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%A Verma,  Ram U.
%T Generalized first-order nonlinear evolution equations and generalized Yosida approximations based on \(H\)-maximal monotonicity frameworks
%J Electronic journal of differential equations
%D 2009
%V 2009
%U http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a124/
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%F EJDE_2009__2009__a124
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/