Luminita Barbu, Gheorghe Morosanu, & Wolfgang L. Wendland
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.
Submitted April 11, 2002. Published May 29, 2002.
Math Subject Classifications: 35K60, 35K05, 35K20, 34G20, 47H05, 47H20.
Key Words: Parabolic equation, nonlinear boundary conditions,
maximal monotone operator, subdifferential,
compatibility conditions.
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Luminita Barbu Department of Mathematics and Informatics Ovidius University Blvd. Mamaia 124 8700 Constan\c ta, Romania e-mail: lbarbu@univ-ovidius.ro |
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Gheorghe Morosanu Department of Mathematics ``Al. I. Cuza'' University Blvd. Carol I, 11 6600 Iasi, Romania e-mail: gmoro@uaic.ro |
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Wolfgang L. Wendland Mathematisches Institut A University of Stuttgart Pfaffenwaldring 57 70569 Stuttgart, Germany e-mail: wendland@mathematik.uni-stuttgart.de |
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