International Journal of Computer
Trends and Technology

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Volume 13 | Number 1 | Year 2014 | Article Id. IJCTT-V13P137 | DOI : https://doi.org/10.14445/22312803/IJCTT-V13P137

Computing the Solution of the Hartree Equation with Repulsive Harmonic Potential

Liming Fu

Citation :

Liming Fu, "Computing the Solution of the Hartree Equation with Repulsive Harmonic Potential," International Journal of Computer Trends and Technology (IJCTT), vol. 13, no. 1, pp. 180-183, 2014. Crossref, https://doi.org/10.14445/22312803/IJCTT-V13P137

Abstract

We study the computability of the solution operator of the initial problem for the Hartree equation with repulsive harmonic potential on the Type-2 Turing machines. We will prove that in Sobolev space ?=H1? FH1, for n?5,when the solution operator: KR : ?(Rn)? C(R;?(Rn)) is (?H1,[?-?H1])-computable. The conclusion enriches the theory of computability.

Keywords

Hartree equation with repulsive harmonic potential, TTE, Sobolev space, Initial problem.

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