On Solving the Cauchy Problem with Propagators
Analysis of PDEs
2014-11-07 v1
Abstract
The abstract first order Cauchy problem is solved in terms of Taylor's series leading to a series of operators which is a propagator. It is found that higher order Cauchy problems can be solved in the same way. Since derivatives of order lower than the Cauchy problem are built-in to the problem, it suffices to solve the higher order derivatives in terms of the lower order ones, in a simple way.
Keywords
Cite
@article{arxiv.1411.1402,
title = {On Solving the Cauchy Problem with Propagators},
author = {Henrik Stenlund},
journal= {arXiv preprint arXiv:1411.1402},
year = {2014}
}
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10 pages