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A Boundary-Value Problem for Weakly Nonlinear Hyperbolic Equations with Data on the Entire Boundary of a Domain

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Abstract

In a domain that is the Cartesian product of a segment and a p-dimensional torus, we investigate a boundary-value problem for weakly nonlinear hyperbolic equations of higher order. For almost all (with respect to Lebesgue measure) parameters of the domain, we establish conditions for the existence of a unique solution of the problem.

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Authors and Affiliations

  1. Institute of Applied Problems in Mechanics and Mathematics, Ukrainian Academy of Sciences, Lviv

    N. I. Bilusyak & B. I. Ptashnyk

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  1. N. I. Bilusyak
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  2. B. I. Ptashnyk
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Bilusyak, N.I., Ptashnyk, B.I. A Boundary-Value Problem for Weakly Nonlinear Hyperbolic Equations with Data on the Entire Boundary of a Domain. Ukrainian Mathematical Journal 53, 276–282 (2001). https://doi.org/10.1023/A:1010421121484

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