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Well-posedness of Tricomi–Gellerstedt–Keldysh-type fractional elliptic problems

Michael RuzhanskySchool of Mathematical Sciences Queen Mary University of London, United KingdomBerikbol T. TorebekDepartment of Mathematics, Akhmet Yasawi University, 29 B.Sattarkhanov str., 161200 Turkistan, KazakhstanBatirkhan TurmetovSchool of Mathematical Sciences Queen Mary University of London, United Kingdom
2022en
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We study Tricomi–Gellerstedt–Keldysh-type fractional elliptic equations and obtain results on the well-posedness of fractional elliptic boundary value problems for general positive operators with discrete spectrum and for Fourier multipliers with positive symbols. As examples, we discuss results in half-cylinder, star-shaped graph, half-space and other domains.

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