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Article

Kandilakis, Dimitrios A.
Pseudomonotonicity and nonlinear hyperbolic equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 3, pp. 463-469
MSC: 35A05, 35D05, 35L20, 35L70, 47H05 | MR 1485068 | Zbl 0940.35123
Keywords:
pseudomonotone operator; demicontinuous operator; maximal monotone operator; weak solution
Summary:
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.
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