StructureInstitutes and
OrganizationsInstitute of Mathematics and MechanicsDepartment
of "Equations of mathematical physics"
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Phone: | (050) 682-04-30; 498-72-75 |
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E-mail: | raufvh@yahoo.com |
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Head of department: |
Rauf Veli oglu Guseynov |
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Total number of employees: | 15 |
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Main areas of activity of the department: |
Investigation of quality solutions, spectral analysis, direct and inverse problems, unique solvability of different boundary and initial boundary value problems for linear and nonlinear quasielliptic equations of divergent and non-divergent structure and nonstationary equations with a quasi elliptic part. |
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Main scientific results of the department: |
Global solvability criterion of Fijita type has been obtained for semi-linear pseudohyperbolic equations. The well-posedness of the Cauchy problem has been studied for hyperbolic equations when a part of coefficients are smooth and a part of coefficients are not smooth. The well-posedness of many-dimensional inverse problem has been investigated for a class of a system of parabolic equations. Quality properties of solutions of different boundary value problems have been obtained for elliptic and parabolic equations. Spectrum of equations with operator coefficients and partial equations have been studied. Negative spectra of quasielliptic operators have been investigated, appropriate quality estimates have been obtained. |
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