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On the zeros of solutions to nonlinear hyperbolic equations

Published online by Cambridge University Press:  14 November 2011

Norio Yoshida
Norio Yoshida
Affiliation:
Department of Mathematics, Faculty of Engineering, Iwate University, Morioka, Japan
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Synopsis

We consider the hyperbolic equation uxy + c(x, y, u) =f(x, y) and the wave equation

We show that, under suitable conditions, there are bounded domains in which every solution to certain problems has a zero. Characteristic initial value problems and initial boundary value problems are considered.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 106 , Issue 1-2 , 1987 , pp. 121 - 129
Copyright
Copyright © Royal Society of Edinburgh 1987

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