In this paper we study the periodic-Neumann boundary value problem for a class of nonlinear parabolic equations. We prove a new uniqueness result and study the structure of the set of solutions when there exist more than one solution. The ideas are applied to a Neumann problem for an elliptic equation.
@article{bwmeta1.element.bwnjournal-article-apmv54z2p111bwm,
author = {Juan J. Nieto},
title = {Periodic-Neumann boundary value problem for nonlinear parabolic equations and application to an elliptic equation},
journal = {Annales Polonici Mathematici},
volume = {55},
year = {1991},
pages = {111-116},
zbl = {0737.35032},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv54z2p111bwm}
}
Juan J. Nieto. Periodic-Neumann boundary value problem for nonlinear parabolic equations and application to an elliptic equation. Annales Polonici Mathematici, Tome 55 (1991) pp. 111-116. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv54z2p111bwm/
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