On the asymptotic formulas of solutions to the boundary value problem without initial condition for Schrödinger systems in domain with conical points

DOI10.1016/j.na.2015.09.022zbMath1331.35051OpenAlexW2170432732MaRDI QIDQ898352

N. E. Zubov

Publication date: 8 December 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2015.09.022

zbMATH Keywords

generalized solutionSchrödinger systems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Weak solutions to PDEs (35D30) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

• On the regularity of solutions of the boundary value problem without initial condition for Schrödinger systems in domain with conical points
• On the solvability of the boundary value problem without initial condition for Schrödinger systems in infinite cylinders
• On initial-boundary value problems for hyperbolic equations in domains with conical points
• Cauchy-Dirichlet problem for second-order hyperbolic equations in cylinders with non-smooth base
• On the perturbation theory of closed linear operators
• On the asymptotics of solutions to the Neumann problem for hyperbolic systems in domains with conical points
• Asymptotic expansions of solutions of the first initial boundary-value problem for Schrödinger systems in domains with conical points. II
• On the coefficients in the asymptotics of solutions of elliptic boundary value problems in domains with conical points
• The Wave Equation in A Wedge With General Boundary Conditions
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