Article

On a Linear Inverse Problem for a Multidimensional Mixed-Type Equation

С. З. ДжамаловRomanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, 100041, UzbekistanRavshan AshurovRomanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, 100041, Uzbekistan

Differential Equationsjournal2019en

ABI

Abstract

We study the well-posedness of a linear inverse problem for a multidimensional mixed-type equation including the classical equations of elliptic, hyperbolic, and parabolic types as special cases. For this problem, using the “ε-regularization,” a priori estimate, and successive approximationmethods, we prove the existence and uniqueness theorems for the solution in some function class.

Topics

Differential Equations and Boundary Problems Numerical methods in inverse problems Advanced Mathematical Modeling in Engineering

Identifiers

DOI: 10.1134/s001226611901004x

Citations and references

Cited by 9 8 references

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