SOME REMARKS ON NONLINEAR HYPERBOLIC EQUATION

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Soltanov K. N.

PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, vol.41, no.2, pp.47-62, 2015 (ESCI)

• Publication Type: Article / Article
• Volume: 41 Issue: 2
• Publication Date: 2015
• Journal Name: PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
• Page Numbers: pp.47-62
• Hacettepe University Affiliated: Yes

Abstract

Here a mixed problem for a nonlinear hyperbolic equation with Neumann boundary value condition is investigated, and a priori estimations for the possible solutions of the considered problem are obtained. These results demonstrate that any solution of this problem possess certain smoothness properties.