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Registration Number

0214U003517, 0111U001085 , R & D reports

Title

Investigation of the well-posedness of direct, inverse and free boundary problems for differential operators

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Head

Ivanchov Mykola Ivanovych,

Registration Date

05-02-2014

Organization

Ivan Franko National University of Lviv. Journalism Department

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There are established sufficient conditions for the solvability of coefficient inverse problems for degenerate parabolic equations in fixed and free boundary domains. There are founded existence and uniqueness conditions for nonlinear integro-differential equations of the elliptic type and optimal control problems for the systems which are described by degenerate at the initial moment evolution equations without initial conditions. The question of existence and uniqueness of solutions to mixed problems for nonlinear evolution equations and variational inequalities are studied. The theorems for existence and uniqueness of solutions to normal linear parabolic problems with data in weighted distribution spaces are proved. There are investigated free boundary and nonlocal problems for normal and degenerate hyperbolic systems in Riemann invariants. The asymptotic behaviour of eigen values and eigen functionsof an elliptic boundary-value problem with singularily perturbated coefficients and a boundary-value problem on graph for hyperbolic equation of the second order with a small parameter at the second derivative with respect to spatial variable is founded.

Product Description

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Андрусяк Руслан Васильович
Ардан Роман Володимирович
Бокало Микола Михайлович
Бокало Тарас Миколайович
Бугрій Олег Миколайович
Головатий Юрій Данилович
Гузик Надія Миколаївна
Гут Віталій Михайлович
Кирилич Володимир Михайлович
Лопушанська Галина Петрівна
Манько Степан Степанович
Флюд Володимир Михайлович

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2020-04-02