Article

On a nonlocal problem for a degenerating parabolic-hyperbolic equation

К. Б. СабитовInstitute for Applied Research, Academy of Sciences of Republic Bashkortostan, Sterlitamak, RussiaС. Н. СидоровInstitute for Applied Research, Academy of Sciences of Republic Bashkortostan, Sterlitamak, Russia

2014en

ABI

Abstract

For an equation of mixed type in a rectangular domain, we use spectral analysis to establish a uniqueness criterion for the solution of a problem with a nonlocal condition relating the values of the unknown solution that belong to different types of the considered equation. We prove the stability of the solution with respect to the nonlocal condition.

Identifiers

DOI: 10.1134/s0012266114030094

Citations and references

Cited by 110 references

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