David Hobby

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20112025

most citedClassification of Multidimensional Darboux Transformations: First Order and Continued Type

18 citations · 19 across the 8 of their papers we have counts for

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math.DG2016★ 18 cited

Classification of Multidimensional Darboux Transformations: First Order and Continued Type

David Hobby, Ekaterina Shemyakova

We analyze Darboux transformations in very general settings for multidimensional linear partial differential operators. We consider all known types of Darboux transformations, and…

math.LO2016

Term inequalities in finite algebras

David Hobby

Given an algebra $A$ , and terms $s (x_{1}, x_{2}, \dots x_{k})$ and $t (x_{1}, x_{2}, \dots x_{k})$ of the language of $A$ , we say that $s$ and $t$ are {\em separated}…