Pseudomonotonicity and nonlinear hyperbolic equations
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 3, pp. 463-469
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In this paper we consider a nonlinear hyperbolic boundary value problem. We show that this problem admits weak solutions by using a lifting result for pseudomonotone operators and a surjectivity result concerning coercive and monotone operators.
In this paper we consider a nonlinear hyperbolic boundary value problem. We show that this problem admits weak solutions by using a lifting result for pseudomonotone operators and a surjectivity result concerning coercive and monotone operators.
Classification :
35A05, 35D05, 35L20, 35L70, 47H05
Keywords: pseudomonotone operator; demicontinuous operator; maximal monotone operator; weak solution
Keywords: pseudomonotone operator; demicontinuous operator; maximal monotone operator; weak solution
@article{CMUC_1997_38_3_a3,
author = {Kandilakis, Dimitrios A.},
title = {Pseudomonotonicity and nonlinear hyperbolic equations},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {463--469},
year = {1997},
volume = {38},
number = {3},
mrnumber = {1485068},
zbl = {0940.35123},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1997_38_3_a3/}
}
Kandilakis, Dimitrios A. Pseudomonotonicity and nonlinear hyperbolic equations. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 3, pp. 463-469. http://geodesic.mathdoc.fr/item/CMUC_1997_38_3_a3/