20 citations · 61 across the 17 of their papers we have counts for
20 papers
Strong solutions to a class of boundary value problems on a mixed Riemannian-Lorentzian metric
Antonella Marini, Thomas H. Otway
A first-order elliptic-hyperbolic system in extended projective space is shown to possess strong solutions to a natural class of Guderley-Morawetz-Keldysh problems on a typical dom…
Duality methods for a class of quasilinear systems
Antonella Marini, Thomas H. Otway
Duality methods are used to generate explicit solutions to nonlinear Hodge systems, demonstrate the well-posedness of boundary value problems, and reveal, via the Hodge-Bäcklund tr…
Constructing completely integrable fields by a generalized-streamlines method
Antonella Marini, Thomas H. Otway
The classical approach to visualizing a flow, in terms of its streamlines, motivates a topological/soft-analytic argument for constrained variational equations. In its full general…
Hodge-Frobenius equations and the Hodge-Backlund transformation
Antonella Marini, Thomas H. Otway
Linear and nonlinear Hodge-like systems for 1-forms are studied, with an assumption equivalent to complete integrability substituted for the requirement of closure under exterior d…
Unique solutions to boundary value problems in the cold plasma model
Thomas H. Otway
The unique existence of a weak solution to the homogeneous closed Dirichlet problem on certain D-star-shaped domains is proven for a mixed elliptic-hyperbolic equation. Equations o…
Comment on "Removable singularities for solutions of coupled Yang-Mills-Dirac equations" [J. Math. Phys. 47, 103502 (2006)]
Thomas H. Otway
A lemma from elliptic theory is used to improve a recent result by Li concerning the removability of an isolated point singularity from solutions of the coupled Yang-Mills-Dirac eq…