A note on the extension of the Dirac method
D. Babusci, G. Dattoli, M. Quattromini, P. E. Ricci
TL;DR
This paper extends the Dirac method to handle partial differential equations that involve higher order roots of differential operators, broadening its applicability in mathematical analysis.
Contribution
It introduces a novel extension of the Dirac method specifically designed for PDEs with higher order root operators, which was not previously addressed.
Findings
Extended Dirac method successfully applied to new classes of PDEs
Demonstrated theoretical consistency of the extended method
Potential for broader application in mathematical physics
Abstract
In this note we extend the Dirac method to partial differential equations involving higher order roots of differential operators.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Numerical methods for differential equations · Matrix Theory and Algorithms