Geodesic
On some problems generated by a~sesquilinear form
Contemporary Mathematics. Fundamental Directions, Proceedings of the Crimean autumn mathematical school-symposium, Tome 63 (2017) no. 2, pp. 278-315

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Based on the generalized Green formula for a sesquilinear nonsymmetric form for the Laplace operator, we consider spectral nonself-adjoint problems. Some of them are similar to classical problems while the other arise in problems of hydrodynamics, diffraction, and problems with surface dissipation of energy. Properties of solutions of such problems are considered. Also we study initial-boundary value problems generating considered spectral problems and prove theorems on correct solvability of such problems on any interval of time. 
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     author = {N. D. Kopachevskii and A. R. Yakubova},
     title = {On some problems generated by a~sesquilinear form},
     journal = {Contemporary Mathematics. Fundamental Directions},
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     publisher = {mathdoc},
     volume = {63},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2017_63_2_a4/}
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N. D. Kopachevskii; A. R. Yakubova. On some problems generated by a~sesquilinear form. Contemporary Mathematics. Fundamental Directions, Proceedings of the Crimean autumn mathematical school-symposium, Tome 63 (2017) no. 2, pp. 278-315. http://geodesic.mathdoc.fr/item/CMFD_2017_63_2_a4/