On Some Problems Generated by a Sesquilinear Form
2017 ◽
Vol 63
(2)
◽
pp. 278-315
Keyword(s):
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.
2018 ◽
Vol 16
(1)
◽
pp. 19-43
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2000 ◽
Vol 54
(5-6)
◽
pp. 9-27
2001 ◽
Vol 56
(8-9)
◽
pp. 21
◽
2018 ◽
Vol 77
(18)
◽
pp. 1581-1595
1966 ◽
Vol 14
(3)
◽
pp. 302-307
◽
1985 ◽
Vol 25
(1)
◽
pp. 145-168
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