Geodesic
High regularity of the solution of a nonlinear parabolic boundary-value problem
Electronic Journal of Differential Equations, Tome 2002 (2002).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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__a241,
     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},
     publisher = {mathdoc},
     volume = {2002},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a241/}
}
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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__a241/