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arXiv · 1508.05531

Generalizing Bagarello's operator approach to solve a class of partial differential equations

Jean Ghislain Compaore·Villevo Adanhounme·Mahouton Norbert Hounkonnou
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Abstract

The non-commutative strategy developed by Bagarello (see Int. Jour. of Theoretical Physics, 43, issue 12 (2004), p. 2371 - 2394) for the analysis of systems of ordinary differential equations (ODEs) is extended to a class of partial differential equations (PDEs), namely evolution equations and Navier-Stokes equations. Systems of PDEs are solved using an unbounded self-adjoint, densely defined, Hamiltonian operator and a recursion relation which provides a multiple commutator and a power series solution. Numerous examples are given in this work.

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Jean Ghislain Compaore, Villevo Adanhounme, Mahouton Norbert Hounkonnou. 2015-08-22. Generalizing Bagarello's operator approach to solve a class of partial differential equations. https://arxiv.org/abs/1508.05531

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