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Estimates on the number of Fq–rational solutions of variants of diagonal equations over finite fields
(Elsevier, 2020-12)
In this paper we study the set of Fq-rational solutions of equations defined by polynomials evaluated in power-sum polynomials with coefficients in Fq. This is done by means of applying a methodology which relies on the ...
A note on dark solitons in Nonlinear Complex Ginzburg-Landau equations
(Romanian Academy Publishing House; Babeş-Bolyai University. Department of Mathematics, 2020-06)
We analyze the existence of dark solitons in nonlinear complex Ginzburg-Landau equations. We prove existence results concerned with the initialvalue problem for these equations in Zhidkov spaces using a new approach ...
A Note on the Convergence to inicial data of Heat and Poisson Equations
(American Mathematical Society, 2012-03)
We characterize the weighted Lebesgue spaces, Lp(ℝn, v(x)dx), for which the solutions of the Heat and Poisson problems have limits a.e. when the time t tends to zero. © 2012 American Mathematical Society.
Comment on “Solution of Schrödinger equation for two different potentials using extended Nikiforov-Uvarov method and polynomial solutions of biconfluent Heun equation” [J. Math. Phys. 59, 053501 (2018)]
(American Institute of Physics, 2021-10)
We analyze some polynomial solutions to the Schrödinger equation with a central-field potential derived recently by means of the so-called extended Nikiforov-Uvarov method. We show that this approach does not produce the ...
From the nonlinear Fokker-Planck equation to the Vlasov description and back: Confined interacting particles with drag
(American Physical Society, 2018-02)
Nonlinear Fokker-Planck equations endowed with power-law diffusion terms have proven to be valuable tools for the study of diverse complex systems in physics, biology, and other fields. The nonlinearity appearing in these ...
A game theoretical approximation for solutions to nonlinear systems with obstacle-type equations
(Springer, 2022-03)
In this paper we find viscosity solutions to a coupled system composed by two equations, the first one is an obstacle type equation, min{−1 ∞u(x), (u − v)(x)} = 0, and the second one is −v(x) + v(x) − u(x) = h(x) in a ...
Perturbative treatment of the non-linear q-schrödinger and q-Klein-Gordon equations
(Molecular Diversity Preservation International, 2017-01)
Interesting non-linear generalization of both Schrödinger's and Klein-Gordon's equations have been recently advanced by Tsallis, Rego-Monteiro and Tsallis (NRT) in Nobre et al. (Phys. Rev. Lett. 2011, 106, 140601). There ...
The fractionary Schrödinger equation, Green functions and ultradistributions
(Elsevier Science, 2013-01)
In this work, we generalize previous results about the Fractionary Schrödinger Equation within the formalism of the theory of Tempered Ultradistributions. Several examples of the use of this theory are given. In particular ...