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math.AP2026
Strong Hyperbolicity of Second-Order PDEs via Matrix Pencils
Fernando Abalos, David Hilditch
We introduce a definition of strong hyperbolicity for second order partial differential equations using second order pencils. We show that this definition is equivalent to the stan…
math.AP2024
Hyperbolic extensions of constrained PDEs
Fernando Abalos, Oscar Reula, David Hilditch
Systems of PDEs comprised of a combination of constraints and evolution equations are ubiquitous in physics. For both theoretical and practical reasons, such as numerical integrati…