On the asymptotic formulas of solutions to the boundary value problem without initial condition for Schrödinger systems in domain with conical points
Tài liệu tham khảo
Anh, 2009, Asymptotic formulas for solution of parameter-depending elliptic boundary-value problems in domains with conical points, Electron. J. Differential Equations, 1
Eskin, 1992, The wave equation in a wedge with general boundary conditions, Comm. Partial Differential Equations, 17, 99
Hung, 1998, The first initial boundary value problem for Schrödinger systems in nonsmooth domains, Differ. Uravn., 34, 1546
Hung, 2009, Asymptotic expansions of solutions of the first initial boundary value problem for the Schrödinger systems in domains with conical points. II, Ukrainian Math. J., 61, 1640, 10.1007/s11253-010-0323-9
Hung, 2013, On initial–boundary value problems for hyperbolic equations in domains with conical points, Abstr. Appl. Anal., 2013, 10.1155/2013/801314
Hung, 2013, On the solvability of the boundary value problem without initial condition for Schrödinger systems in infinite cylinders, Bound. Value Probl., 2013, 156, 10.1186/1687-2770-2013-156
Hung, 2009, Cauchy–Dirichlet problem for second-order hyperbolic equations in cylinders with non-smooth base, Nonlinear Anal. Theory Methods Appl., 70, 741, 10.1016/j.na.2008.01.007
Kato, 1952, On the pertubation theory of closed linear operators, J. Math. Soc. Japan, 4, 323, 10.2969/jmsj/00430323
Kokotov, 2004, On asymptotics of solutions of the Neumann problem for hyperbolic systems in domains with conical points, Algebra i Analiz, 16, 56
Kondratiev, 1997, Singuarities of solutions of Dirichlet problem for second-order elliptic equations in a neighborhood of edges, Differ. Equ., 13, 2026
Kondratiev, 1967, Boundary value problems for elliptic equations in domain with conic or corner points, Tr. Mosk. Mat. Obs., 16, 209
Kozlov, 1997, vol. 52
Kozlov, 2001, vol. 85
Lien, 2014, On the regularity of solutions of the boundary value problem without initial condition for Schrödinger systems in domain with conical points, Bound. Value Probl., 2014, 181, 10.1186/s13661-014-0181-8
Lions, 1972
Lions, 1972
Maz’ya, 1984, On the coefficients in the asymptotic of solutions of the elliptic boundary problem in domains with conical points, Amer. Math. Soc. Trans., 123, 57
Nazarov, 1990