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A decay estimate for a wave equation with trapping and a complex potential
wave equation decay estimate complex potential Analysis of PDEs
2011/9/19
Abstract: In this brief note, we consider a wave equation that has both trapping and a complex potential. For this problem, we prove a uniform bound on the energy and a Morawetz (or integrated local e...
Cyclic and Quasi-Cyclic LDPC Codes on Row and Column Constrained Parity-Check Matrices and Their Trapping Sets
Quasi-Cyclic LDPC Codes on Row Column Constrained Parity-Check Matrices Their Trapping Sets
2011/2/21
This paper is concerned with construction and structural analysis of both cyclic and quasi-cyclic codes, particularly LDPC codes. It consists of three parts. The first part shows that a cyclic code gi...
Decay of Resonance Structure and Trapping Effect in Potential Scattering Problem of Self-Focusing Wave Packet
Quantum Gases (cond-mat.quant-gas) Exactly Solvable and Integrable Systems (nlin.SI)
2010/11/10
Potential scattering problems governed by the time dependent Gross-Pitaevskii equation are investigated numerically for various values of coupling constants. The initial condition is assumed to have t...