Global existence and uniform decay for the coupled Klein–Gordon–Schrödinger equations with non-linear boundary damping and memory term

2006 ◽  
Vol 29 (9) ◽  
pp. 947-964 ◽  
Author(s):  
Jong Yeoul Park ◽  
Joung Ae Kim
Keyword(s):  
Global Existence ◽  
Memory Term ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Linear Boundary ◽  
Uniform Decay ◽  
Boundary Damping ◽  
Non Linear ◽  
Klein Gordon

Non-Linear Generalization of the Relativistic Schrödinger Equations

1996 ◽  
Vol 51 (9) ◽  
pp. 965-982
Author(s):  
U. Ochs ◽  
M. Sorg
Keyword(s):  
Numerical Results ◽  
Schrodinger Equations ◽  
Higgs Potential ◽  
Schrödinger Equations ◽  
Field Equations ◽  
Non Linear ◽  
Klein Gordon ◽  
The Universe ◽  
Linear Field

Abstract The theory of the Relativistic Schrödinger Equations is further developped and extended to non-linear field equations. The technical advantage of the Relativistic Schrödinger approach is demonstrated explicitly by solving the coupled Einstein-Klein-Gordon equations including a non-linear Higgs potential in case of a Robertson-Walker universe. The numerical results yield the effect of dynamical self-diagonalization of the Hamiltonian which corresponds to a kind of quantum de-coherence being enabled by the inflation of the universe.

scholarly journals Uniform decay for the coupled Klein-Gordon-Schrödinger equations with locally distributed damping

2008 ◽  
Vol 15 (1-2) ◽  
pp. 91-113 ◽  
Author(s):  
V. Bisognin ◽  
M. M. Cavalcanti ◽  
V. N. Domingos Cavalcanti ◽  
J. Soriano
Keyword(s):  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Uniform Decay ◽  
Klein Gordon

scholarly journals Minimal support results for Schrödinger equations

2015 ◽  
Vol 27 (1) ◽  
Author(s):  
Laura De Carli ◽  
Julian Edward ◽  
Steve Hudson ◽  
Mark Leckband
Keyword(s):  
Lower Bound ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Linear Boundary ◽  
Model Case ◽  
Minimal Support ◽  
Non Linear

AbstractWe consider a number of linear and non-linear boundary value problems involving generalized Schrödinger equations. The model case is -ΔThese conditions usually involve a lower bound for a product of powers of the norm of

Sign in / Sign up

Export Citation Format

Share Document