On a Seminonlocal Boundary Value Problem for a Multidimensional Loaded Mixed Type Equation of the Second Kind

Dzhamalov, S. Z.; Ashurov, Ravshan; У.Ш., Рузиев,

doi:10.1134/s1995080221030094

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“…Forward problems for high-order mixed-type equations were studied in [6], [7], [15], [27], [29] but inverse problems for high-order mixed-type equations were practically not studied. The aim of this work is to fill this gap.…”

Section: Introductionmentioning

confidence: 99%

A Linear Inverse Problem for a Multidimensional Mixed-Type Second-Order Equation of the First-Kind

Dzhamalov

Ashurov

2019

Russ Math.

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In this article the correctness of a linear inverse problem with seminonlocal boundary conditions for a three-dimensional equation in a parallelepiped is considered. The equation itself is a fourth order mixed type equation of the second kind. The existence and uniqueness theorems for a generalized solution of the inverse problem in a certain class of integrable functions are proved using the methods of Fourier, "εregularization", a priori estimates, approximating sequences and contracting mappings.

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