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Estudo da equação de Klein-Gordon linear
(Universidade Estadual Paulista (Unesp), 2008-02-12)
Neste trabalho estudamos a equação de Klein-Gordon linear. Definimos solução generalizada do Problema de Cauchy para tal equação. Provamos a existência e a unicidade da solução no espaço H1 loc(R2 + 1) e demonstramos o ...
Estudo da equação de Klein-Gordon linear
(Universidade Estadual Paulista (Unesp), 2008-02-12)
Neste trabalho estudamos a equação de Klein-Gordon linear. Definimos solução generalizada do Problema de Cauchy para tal equação. Provamos a existência e a unicidade da solução no espaço H1 loc(R2 + 1) e demonstramos o ...
Estudo da equação de Klein-Gordon linear
(Universidade Estadual Paulista (UNESP), 2014)
New solutions of the D-dimensional Klein–Gordon equation via mapping onto the nonrelativistic one-dimensional Morse potential
(2017-03-01)
New exact analytical bound-state solutions of the D-dimensional Klein–Gordon equation for a large set of couplings and potential functions are obtained via mapping onto the nonrelativistic bound-state solutions of the ...
Energy decay for the linear Klein-Gordon equation and boundary control
(Elsevier B.V., 2014-06-15)
In this work we study the asymptotic behavior of the solutions of the linear Klein Gordon equation in R-N, N >= 1. We prove that local energy of solutions to the Cauchy problem decays polynomially. Afterwards, we use the ...
New Solutions Of The D-dimensional Klein-gordon Equation Via Mapping Onto The Nonrelativistic One-dimensional Morse Potential
(Academic Press Inc Elsevier ScienceSan Diego, 2017)
Energy decay for the linear Klein-Gordon equation and boundary control
(Elsevier B.V., 2014)
Analyticity and near optimal time boundary controllability for the linear Klein–Gordon equation
(2017-01-01)
We study time analyticity for the solutions of the linear Klein–Gordon equation in RN, N≥1 and use it to obtain essentially optimal time boundary controllability in piecewise smooth domains. The initial state has finite ...
Dissipative effects in nonlinear Klein-Gordon dynamics
(Europhysics Letters, 2016-03)
We consider dissipation in a recently proposed nonlinear Klein-Gordon dynamics that admits exact time-dependent solutions of the power-law form ei(kx>wt) q , involving the q-exponential function naturally arising within ...