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An Initial Boundary Value Problem for a Mixed Type Equation in a Rectangular Domain

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Abstract

We considered the mixed parabolic-hyperbolic type equation with discontinuous coefficient in a rectangular domain.We established a criterion for the unique solvability of this problem,using this criterion constructed solution as the sum of Fourier series. Finally, the stability of the solution with respect to initial function is proved.

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Authors and Affiliations

  1. Department of Mathematics, Science and Letter Faculty, Mersin University, Mersin, Turkey

    Kh. R. Mamedov

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  1. Kh. R. Mamedov
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Correspondence to Kh. R. Mamedov.

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(Submitted by T. K. Yuldashev)

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Mamedov, K.R. An Initial Boundary Value Problem for a Mixed Type Equation in a Rectangular Domain. Lobachevskii J Math 42, 572–578 (2021). https://doi.org/10.1134/S1995080221030136

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  • DOI: https://doi.org/10.1134/S1995080221030136

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