Differential and Integral Equations
- Differential Integral Equations
- Volume 9, Number 1 (1996), 137-148.
Nonlinear boundary feedback stabilization for Schrödinger equations
In this paper we consider the existence, uniqueness and the asymptotic behavior of the solutions of Schrödinger equations in bounded domains with nonlinear dissipative boundary conditions; the existence and uniqueness are proved by means of nonlinear semigroup theory and the asymptotic behavior is obtained by establishing decay rates for the energy.
Differential Integral Equations, Volume 9, Number 1 (1996), 137-148.
First available in Project Euclid: 7 May 2013
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 93D15: Stabilization of systems by feedback
Secondary: 35J10: Schrödinger operator [See also 35Pxx] 47H20: Semigroups of nonlinear operators [See also 37L05, 47J35, 54H15, 58D07] 93C20: Systems governed by partial differential equations
Cipolatti, R.; Machtyngier, E.; San Pedro Siqueira, E. Nonlinear boundary feedback stabilization for Schrödinger equations. Differential Integral Equations 9 (1996), no. 1, 137--148. https://projecteuclid.org/euclid.die/1367969992