Invariant Algebraic Surfaces of Polynomial Vector Fields in Dimension Three
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-021-10080-8
Abstract: We discuss criteria for the nonexistence, existence and computation of invariant algebraic surfaces for three-dimensional complex polynomial vector fields, thus transferring a classical problem of Poincaré from dimension two to dimension three. Such surfaces are… read more here.
Keywords: vector; algebraic surfaces; polynomial vector; dimension three ... See more keywords
Interior estimates for solutions of the quadratic Hessian equations in dimension three
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124179
Abstract: Abstract We derive a priori C 2 , α interior estimates in dimension three for viscosity solutions of the quadratic Hessian equation σ 2 ( D 2 u ) = f ( x ) ,… read more here.
Keywords: interior estimates; dimension three; solutions quadratic; estimates solutions ... See more keywords
When is a Matrix of Dimension Three Similar to a Metzler Matrix? Application to Interval Observer Design
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2021.3123245
Abstract: A simple, necessary, and sufficient condition ensuring that a real matrix of dimension three is similar to a Metzler matrix is exhibited. When this condition is satisfied, a construction of the transfer matrix is given.… read more here.
Keywords: matrix; three similar; dimension three; design ... See more keywords
Delta sets for nonsymmetric numerical semigroups with embedding dimension three
Sign Up to like & getrecommendations! Published in 2017 at "Forum Mathematicum"
DOI: 10.1515/forum-2015-0065
Abstract: Abstract We present a fast algorithm to compute the Delta set of a nonsymmetric numerical semigroup with embedding dimension three. We also characterize the sets of integers that are the Delta set of a numerical… read more here.
Keywords: nonsymmetric numerical; dimension three; embedding dimension; delta sets ... See more keywords