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Well-Posed and Regular Nonlocal Boundary-Value Problems for Partial Differential Equations

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Ukrainian Mathematical Journal Aims and scope

Abstract

The present paper deals with the well-posedness and regularity of one class of one-dimensional time-dependent boundary-value problems with global boundary conditions on the entire time interval. We establish conditions for the well-posedness of boundary-value problems for partial differential equations in the class of bounded differentiable functions. A criterion for the regularity of the problem under consideration is also obtained.

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Authors and Affiliations

  1. University Dschang, Cameroon

    E. Kengne

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  1. E. Kengne
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Kengne, E. Well-Posed and Regular Nonlocal Boundary-Value Problems for Partial Differential Equations. Ukrainian Mathematical Journal 54, 1367–1377 (2002). https://doi.org/10.1023/A:1023439825383

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  • DOI: https://doi.org/10.1023/A:1023439825383

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