Barbu, LuminitaMorosanu, GheorgheWendland, Wolfgang L.2020-08-102020-08-102002-05-29Barbu, L., Morosanu, G., & Wendland, W. L. (2002). High regularity of the solution of a nonlinear parabolic boundary-value problem. <i>Electronic Journal of Differential Equations, 2002</i>(48), pp. 1-12.1072-6691https://hdl.handle.net/10877/12347The 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.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalParabolic equationNonlinear boundary conditionsMaximal monotone operatorSubdifferentialCompatibility conditionsArticle