Geodesic
High regularity of the solution of a nonlinear parabolic boundary-value problem
Electronic journal of differential equations, Tome 2002 (2002)
The aim of this paper is to report some results concerning high regularity of the solution of a nonlinear parabolic problem with a linear parabolic differential equation in one spatial dimension and nonlinear boundary conditions. We show that any regularity can be reached provided that appropriate smoothness of the data and compatibility assumptions are required.
Classification : 35K60, 35K05, 35K20, 34G20, 47H05, 47H20
Keywords: parabolic equation, nonlinear boundary conditions, maximal monotone operator, subdifferential, compatibility conditions 
@article{EJDE_2002__2002__a41,
     author = {Barbu,  Lumini\c{t}a and Moro\c{s}anu,  Gheorghe and Wendland,  Wolfgang L.},
     title = {High regularity of the solution of a nonlinear parabolic boundary-value problem},
     journal = {Electronic journal of differential equations},
     year = {2002},
     volume = {2002},
     zbl = {1001.35064},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a41/}
}
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JO  - Electronic journal of differential equations
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VL  - 2002
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%A Wendland,  Wolfgang L.
%T High regularity of the solution of a nonlinear parabolic boundary-value problem
%J Electronic journal of differential equations
%D 2002
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%G en
%F EJDE_2002__2002__a41
Barbu,  Luminiţa; Moroşanu,  Gheorghe; Wendland,  Wolfgang L. High regularity of the solution of a nonlinear parabolic boundary-value problem. Electronic journal of differential equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a41/