6 citations · 14 across the 7 of their papers we have counts for
7 papers · 1 filter
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…
Small coupling limit and multiple solutions to the Dirichlet Problem for Yang Mills connections in 4 dimensions - Part III
Takeshi Isobe, Antonella Marini
In this paper, the third of its series, we prove that the sobolev spaces of L^p_k approximate solutions to the Dirichlet problem for the epsilon-Yang Mills equations on a four dime…
Small coupling limit and multiple solutions to the Dirichlet Problem for Yang-Mills connections in 4 dimensions - Part II
Takeshi Isobe, Antonella Marini
In this paper we complete the proof of the existence of multiple solutions (and, in particular, non minimal ones), to the epsilon-Dirichlet problem obtained as a variational proble…
Small coupling limit and multiple solutions to the Dirichlet Problem for Yang Mills connections in 4 dimensions - Part I
Takeshi Isobe, Antonella Marini
In this paper (Part I) and its sequels (Part II and Part III), we analyze the structure of the space of solutions to the epsilon-Dirichlet problem for the Yang-Mills equations on t…
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…