-regularity of solutions to first initial-boundary value problem for hyperbolic equations in cusp domains.
Asymptotic formulas for solutions of parameter-depending elliptic boundary-value problems in domains with conical points.
Regularity of the solution of the first initial-boundary value problem for hyperbolic equations in domains with cuspidal points on boundary.
Unique solvability of initial boundary-value problems for hyperbolic systems in cylinders whose base is a cusp domain.
Asymptotic behavior of solutions to Cauchy-Dirichlet problems for second-order hyperbolic equations in cylinder with non-smooth base.
Cauchy-Neumann problem for second-order general Schrödinger equations in cylinders with nonsmooth bases.
Existence and smoothness of solutions to second initial boundary value problems for Schrödinger systems in cylinders with non-smooth bases.
Asymptotics of solutions to the Dirichlet-Cauchy problem for parabolic equations in domains with edges
This paper is concerned with the Dirichlet-Cauchy problem for second order parabolic equations in domains with edges. The asymptotic behaviour of the solution near the edge is studied.
On the asymptotics of solutions to the second initial boundary value problem for Schrödinger systems in domains with conical points
In this paper, for the second initial boundary value problem for Schrödinger systems, we obtain a performance of generalized solutions in a neighborhood of conical points on the boundary of the base of infinite cylinders. The main result are asymptotic formulas for generalized solutions in case the associated spectrum problem has more than one eigenvalue in the strip considered.
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