## Differential and Integral Equations

### Dirichlet problem for the Schrödinger operator in a half-space with boundary data of arbitrary growth at infinity

Alexander I. Kheyfits

#### Abstract

We consider the Dirichlet problem for the Schrödinger operator in a half-space with boundary data having an arbitrary growth at infinity. A solution is constructed as the generalized Poisson integral. Uniqueness of the solution is investigated also.

#### Article information

Source
Differential Integral Equations, Volume 10, Number 1 (1997), 153-164.

Dates
First available in Project Euclid: 6 May 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1367846888

Mathematical Reviews number (MathSciNet)
MR1424803

Zentralblatt MATH identifier
0879.35039

Subjects
Primary: 35J10: Schrödinger operator [See also 35Pxx]

#### Citation

Kheyfits, Alexander I. Dirichlet problem for the Schrödinger operator in a half-space with boundary data of arbitrary growth at infinity. Differential Integral Equations 10 (1997), no. 1, 153--164. https://projecteuclid.org/euclid.die/1367846888