High Regularity of the Solution of a Nonlinear Parabolic Boundary-Value Problem
Date
2002-05-29
Authors
Barbu, Luminita
Morosanu, Gheorghe
Wendland, Wolfgang L.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Parabolic equation, Nonlinear boundary conditions, Maximal monotone operator, Subdifferential, Compatibility conditions
Citation
Barbu, 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.
Rights
Attribution 4.0 International